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56501676 = 2232711217109
BaseRepresentation
bin1101011110001…
…0010110101100
310221022120201200
43113202112230
5103431023201
65335005500
71254153630
oct327422654
9127276650
1056501676
1129991600
1216b09890
13b92385a
14770adc0
154e61386
hex35e25ac

56501676 has 216 divisors, whose sum is σ = 191711520. Its totient is φ = 13685760.

The previous prime is 56501651. The next prime is 56501681. The reversal of 56501676 is 67610565.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 56501676.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 518310 + ... + 518418.

Almost surely, 256501676 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 56501676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95855760).

56501676 is an abundant number, since it is smaller than the sum of its proper divisors (135209844).

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

56501676 is a wasteful number, since it uses less digits than its factorization.

56501676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 56501676 is about 7516.7596742213. The cubic root of 56501676 is about 383.7253081051.

Subtracting 56501676 from its reverse (67610565), we obtain a square (11108889 = 33332).

The spelling of 56501676 in words is "fifty-six million, five hundred one thousand, six hundred seventy-six".