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56161456 = 24131931399
BaseRepresentation
bin1101011000111…
…1010010110000
310220200022000221
43112033102300
5103334131311
65323422424
71251236011
oct326172260
9126608027
1056161456
1129779a2a
1216984a14
13b834a40
14765d008
154de5671
hex358f4b0

56161456 has 40 divisors (see below), whose sum is σ = 117874400. Its totient is φ = 25767936.

The previous prime is 56161453. The next prime is 56161463. The reversal of 56161456 is 65416165.

It is a happy number.

56161456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (56161453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39445 + ... + 40843.

It is an arithmetic number, because the mean of its divisors is an integer number (2946860).

Almost surely, 256161456 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 56161456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58937200).

56161456 is an abundant number, since it is smaller than the sum of its proper divisors (61712944).

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

56161456 is a wasteful number, since it uses less digits than its factorization.

56161456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1607 counting only the distinct ones).

The product of its digits is 21600, while the sum is 34.

The square root of 56161456 is about 7494.0947418618. The cubic root of 56161456 is about 382.9535673497.

The spelling of 56161456 in words is "fifty-six million, one hundred sixty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 193 208 386 772 1399 1544 2509 2798 3088 5018 5596 10036 11192 18187 20072 22384 36374 40144 72748 145496 270007 290992 540014 1080028 2160056 3510091 4320112 7020182 14040364 28080728 56161456