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56961696 = 253111719167
BaseRepresentation
bin1101100101001…
…0101010100000
310222011221202110
43121102222200
5104040233241
65352515320
71261111041
oct331225240
9128157673
1056961696
112a176190
12170abb40
13ba5505c
1477ca8c8
155002816
hex3652aa0

56961696 has 192 divisors, whose sum is σ = 182891520. Its totient is φ = 15298560.

The previous prime is 56961661. The next prime is 56961733. The reversal of 56961696 is 69616965.

It is a super-2 number, since 2×569616962 = 6489269622392832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341005 + ... + 341171.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 256961696 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 56961696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91445760).

56961696 is an abundant number, since it is smaller than the sum of its proper divisors (125929824).

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

56961696 is a wasteful number, since it uses less digits than its factorization.

56961696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 219 counting only the distinct ones).

The product of its digits is 524880, while the sum is 48.

The square root of 56961696 is about 7547.2972645842. The cubic root of 56961696 is about 384.7638873849.

The spelling of 56961696 in words is "fifty-six million, nine hundred sixty-one thousand, six hundred ninety-six".