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74905656 = 23374310369
BaseRepresentation
bin1000111011011…
…11100000111000
312012221121020120
410131233200320
5123133440111
611233253240
71566454560
oct435574070
9165847216
1074905656
1139311801
1221104220
1312698697
149d3bda0
156899406
hex476f838

74905656 has 64 divisors (see below), whose sum is σ = 219014400. Its totient is φ = 20901888.

The previous prime is 74905627. The next prime is 74905673. The reversal of 74905656 is 65650947.

It is a super-2 number, since 2×749056562 = 11221714601580672, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2040 + ... + 12408.

It is an arithmetic number, because the mean of its divisors is an integer number (3422100).

Almost surely, 274905656 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 74905656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109507200).

74905656 is an abundant number, since it is smaller than the sum of its proper divisors (144108744).

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

74905656 is a wasteful number, since it uses less digits than its factorization.

74905656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10428 (or 10424 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 74905656 is about 8654.8053704286. The cubic root of 74905656 is about 421.5394299839.

The spelling of 74905656 in words is "seventy-four million, nine hundred five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 2408 3612 7224 10369 20738 31107 41476 62214 72583 82952 124428 145166 217749 248856 290332 435498 445867 580664 870996 891734 1337601 1741992 1783468 2675202 3121069 3566936 5350404 6242138 9363207 10700808 12484276 18726414 24968552 37452828 74905656