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4002646056 = 2331743337677
BaseRepresentation
bin1110111010010011…
…1000100000101000
3101022221200111011020
43232210320200220
531144134133211
61501102332440
7201121634013
oct35644704050
911287614136
104002646056
111774431252
1293858a120
134ba339c26
1429d84237a
151865e9306
hexee938828

4002646056 has 128 divisors (see below), whose sum is σ = 10889873280. Its totient is φ = 1221083136.

The previous prime is 4002646031. The next prime is 4002646057. The reversal of 4002646056 is 6506462004.

It is a super-2 number, since 2×40026460562 = 32042350899224710272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4002646057) 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, 5911990 + ... + 5912666.

It is an arithmetic number, because the mean of its divisors is an integer number (85077135).

Almost surely, 24002646056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002646056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5444936640).

4002646056 is an abundant number, since it is smaller than the sum of its proper divisors (6887227224).

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

4002646056 is a wasteful number, since it uses less digits than its factorization.

4002646056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 4002646056 is about 63266.4686544144. The cubic root of 4002646056 is about 1587.7510041533.

The spelling of 4002646056 in words is "four billion, two million, six hundred forty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 43 51 68 86 102 129 136 172 204 258 337 344 408 516 674 677 731 1011 1032 1348 1354 1462 2022 2031 2193 2696 2708 2924 4044 4062 4386 5416 5729 5848 8088 8124 8772 11458 11509 14491 16248 17187 17544 22916 23018 28982 29111 34374 34527 43473 45832 46036 57964 58222 68748 69054 86946 87333 92072 115928 116444 137496 138108 173892 174666 228149 232888 246347 276216 347784 349332 456298 492694 494887 684447 698664 739041 912596 985388 989774 1368894 1478082 1484661 1825192 1970776 1979548 2737788 2956164 2969322 3878533 3959096 5475576 5912328 5938644 7757066 9810407 11635599 11877288 15514132 19620814 23271198 29431221 31028264 39241628 46542396 58862442 78483256 93084792 117724884 166776919 235449768 333553838 500330757 667107676 1000661514 1334215352 2001323028 4002646056