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56115456 = 283312357
BaseRepresentation
bin1101011000010…
…0000100000000
310220120221221020
43112010010000
5103331143311
65322425440
71250654625
oct326040400
9126527836
1056115456
1129748411
1216962280
13b819b17
14764a34c
154dd6c06
hex3584100

56115456 has 72 divisors (see below), whose sum is σ = 154232064. Its totient is φ = 18094080.

The previous prime is 56115443. The next prime is 56115463. The reversal of 56115456 is 65451165.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22630 + ... + 24986.

It is an arithmetic number, because the mean of its divisors is an integer number (2142112).

Almost surely, 256115456 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 56115456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77116032).

56115456 is an abundant number, since it is smaller than the sum of its proper divisors (98116608).

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

56115456 is a wasteful number, since it uses less digits than its factorization.

56115456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2393 counting only the distinct ones).

The product of its digits is 18000, while the sum is 33.

The square root of 56115456 is about 7491.0250299942. The cubic root of 56115456 is about 382.8489839036.

The spelling of 56115456 in words is "fifty-six million, one hundred fifteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2357 2976 3968 4714 5952 7071 7936 9428 11904 14142 18856 23808 28284 37712 56568 73067 75424 113136 146134 150848 219201 226272 292268 301696 438402 452544 584536 603392 876804 905088 1169072 1753608 1810176 2338144 3507216 4676288 7014432 9352576 14028864 18705152 28057728 56115456