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4744905840 = 2432518773511
BaseRepresentation
bin1000110101101000…
…11000010001110000
3110020200101012011100
410122310120101300
534204143441330
62102455444400
7225404014503
oct43264302160
913220335140
104744905840
112015414a94
12b05086700
135a80545bc
1433025b13a
151cb868060
hex11ad18470

4744905840 has 120 divisors (see below), whose sum is σ = 15948006048. Its totient is φ = 1264273920.

The previous prime is 4744905799. The next prime is 4744905859. The reversal of 4744905840 is 485094474.

4744905840 is a `hidden beast` number, since 4 + 74 + 490 + 58 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×47449058402 = 45028262860932211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1349685 + ... + 1353195.

Almost surely, 24744905840 is an apocalyptic number.

4744905840 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 4744905840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7974003024).

4744905840 is an abundant number, since it is smaller than the sum of its proper divisors (11203100208).

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

4744905840 is a wasteful number, since it uses less digits than its factorization.

4744905840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5407 (or 5398 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4744905840 is about 68883.2769255354. The cubic root of 4744905840 is about 1680.3865607071.

The spelling of 4744905840 in words is "four billion, seven hundred forty-four million, nine hundred five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1877 3511 3754 5631 7022 7508 9385 10533 11262 14044 15016 16893 17555 18770 21066 22524 28088 28155 30032 31599 33786 35110 37540 42132 45048 52665 56176 56310 63198 67572 70220 75080 84264 84465 90096 105330 112620 126396 135144 140440 150160 157995 168528 168930 210660 225240 252792 270288 280880 315990 337860 421320 450480 505584 631980 675720 842640 1263960 1351440 2527920 6590147 13180294 19770441 26360588 32950735 39540882 52721176 59311323 65901470 79081764 98852205 105442352 118622646 131802940 158163528 197704410 237245292 263605880 296556615 316327056 395408820 474490584 527211760 593113230 790817640 948981168 1186226460 1581635280 2372452920 4744905840