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4778343240 = 233511329917
BaseRepresentation
bin1000111001100111…
…11011101101001000
3110100000021222122120
410130303323231020
534241223440430
62110052251240
7226261150566
oct43463735510
913300258576
104778343240
112032283000
12b14310b20
135b1c61048
14334882a36
151ce770610
hex11ccfbb48

4778343240 has 128 divisors (see below), whose sum is σ = 15767982720. Its totient is φ = 1158347520.

The previous prime is 4778343217. The next prime is 4778343247. The reversal of 4778343240 is 423438774.

It is a super-3 number, since 3×47783432403 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4778343192 and 4778343201.

It is not an unprimeable number, because it can be changed into a prime (4778343247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144762 + ... + 174678.

It is an arithmetic number, because the mean of its divisors is an integer number (123187365).

Almost surely, 24778343240 is an apocalyptic number.

4778343240 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 4778343240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7883991360).

4778343240 is an abundant number, since it is smaller than the sum of its proper divisors (10989639480).

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

4778343240 is a wasteful number, since it uses less digits than its factorization.

4778343240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29964 (or 29938 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The square root of 4778343240 is about 69125.5614082085. The cubic root of 4778343240 is about 1684.3245585339.

The spelling of 4778343240 in words is "four billion, seven hundred seventy-eight million, three hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1331 1452 1815 2420 2662 2904 3630 3993 4840 5324 6655 7260 7986 10648 13310 14520 15972 19965 26620 29917 31944 39930 53240 59834 79860 89751 119668 149585 159720 179502 239336 299170 329087 359004 448755 598340 658174 718008 897510 987261 1196680 1316348 1645435 1795020 1974522 2632696 3290870 3590040 3619957 3949044 4936305 6581740 7239914 7898088 9872610 10859871 13163480 14479828 18099785 19745220 21719742 28959656 36199570 39490440 39819527 43439484 54299355 72399140 79639054 86878968 108598710 119458581 144798280 159278108 199097635 217197420 238917162 318556216 398195270 434394840 477834324 597292905 796390540 955668648 1194585810 1592781080 2389171620 4778343240