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4742409840 = 243574496287
BaseRepresentation
bin1000110101010101…
…10110111001110000
3110020111200101021220
410122222312321300
534203024103330
62102330145040
7225343550520
oct43252667160
913214611256
104742409840
112013a6a783
12b04282180
135a768c48c
1432dbab680
151cb523710
hex11aab6e70

4742409840 has 160 divisors (see below), whose sum is σ = 16841779200. Its totient is φ = 1081393152.

The previous prime is 4742409829. The next prime is 4742409851. The reversal of 4742409840 is 489042474.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4742409829) and next prime (4742409851).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4742409792 and 4742409801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 751177 + ... + 757463.

It is an arithmetic number, because the mean of its divisors is an integer number (105261120).

Almost surely, 24742409840 is an apocalyptic number.

4742409840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4742409840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8420889600).

4742409840 is an abundant number, since it is smaller than the sum of its proper divisors (12099369360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4742409840 is a wasteful number, since it uses less digits than its factorization.

4742409840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6759 (or 6753 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 4742409840 is about 68865.1569373076. The cubic root of 4742409840 is about 1680.0918600565.

The spelling of 4742409840 in words is "four billion, seven hundred forty-two million, four hundred nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 449 560 840 898 1347 1680 1796 2245 2694 3143 3592 4490 5388 6286 6287 6735 7184 8980 9429 10776 12572 12574 13470 15715 17960 18858 18861 21552 25144 25148 26940 31430 31435 35920 37716 37722 44009 47145 50288 50296 53880 62860 62870 75432 75444 88018 94290 94305 100592 107760 125720 125740 132027 150864 150888 176036 188580 188610 220045 251440 251480 264054 301776 352072 377160 377220 440090 502960 528108 660135 704144 754320 754440 880180 1056216 1320270 1508880 1760360 2112432 2640540 2822863 3520720 5281080 5645726 8468589 10562160 11291452 14114315 16937178 19760041 22582904 28228630 33874356 39520082 42342945 45165808 56457260 59280123 67748712 79040164 84685890 98800205 112914520 118560246 135497424 158080328 169371780 197600410 225829040 237120492 296400615 316160656 338743560 395200820 474240984 592801230 677487120 790401640 948481968 1185602460 1580803280 2371204920 4742409840