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56810112 = 273337439
BaseRepresentation
bin1101100010110…
…1101010000000
310221220020211020
43120231222000
5104020410422
65345345440
71256610102
oct330555200
9127806736
1056810112
112a082307
1217038280
13ba01068
14778b572
154ec295c
hex362da80

56810112 has 64 divisors (see below), whose sum is σ = 151694400. Its totient is φ = 18837504.

The previous prime is 56810111. The next prime is 56810113. The reversal of 56810112 is 21101865.

It is an interprime number because it is at equal distance from previous prime (56810111) and next prime (56810113).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (56810111) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 129189 + ... + 129627.

It is an arithmetic number, because the mean of its divisors is an integer number (2370225).

Almost surely, 256810112 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 56810112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75847200).

56810112 is an abundant number, since it is smaller than the sum of its proper divisors (94884288).

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

56810112 is a wasteful number, since it uses less digits than its factorization.

56810112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 56810112 is about 7537.2483042553. The cubic root of 56810112 is about 384.4222785126.

Adding to 56810112 its reverse (21101865), we get a palindrome (77911977).

The spelling of 56810112 in words is "fifty-six million, eight hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 337 384 439 674 878 1011 1317 1348 1756 2022 2634 2696 3512 4044 5268 5392 7024 8088 10536 10784 14048 16176 21072 21568 28096 32352 42144 43136 56192 64704 84288 129408 147943 168576 295886 443829 591772 887658 1183544 1775316 2367088 3550632 4734176 7101264 9468352 14202528 18936704 28405056 56810112