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56861616 = 2437229739
BaseRepresentation
bin1101100011101…
…0001110110000
310221222212110210
43120322032300
5104024032431
65350424120
71260213210
oct330721660
9127885423
1056861616
112a107a79
1217062040
13ba1b636
1477a2240
154ed2d46
hex363a3b0

56861616 has 80 divisors (see below), whose sum is σ = 168838400. Its totient is φ = 16153344.

The previous prime is 56861603. The next prime is 56861621. The reversal of 56861616 is 61616865.

56861616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 76575 + ... + 77313.

It is an arithmetic number, because the mean of its divisors is an integer number (2110480).

Almost surely, 256861616 is an apocalyptic number.

56861616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56861616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84419200).

56861616 is an abundant number, since it is smaller than the sum of its proper divisors (111976784).

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

56861616 is a wasteful number, since it uses less digits than its factorization.

56861616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 980 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 56861616 is about 7540.6641617301. The cubic root of 56861616 is about 384.5384157283.

The spelling of 56861616 in words is "fifty-six million, eight hundred sixty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 229 336 458 687 739 916 1374 1478 1603 1832 2217 2748 2956 3206 3664 4434 4809 5173 5496 5912 6412 8868 9618 10346 10992 11824 12824 15519 17736 19236 20692 25648 31038 35472 38472 41384 62076 76944 82768 124152 169231 248304 338462 507693 676924 1015386 1184617 1353848 2030772 2369234 2707696 3553851 4061544 4738468 7107702 8123088 9476936 14215404 18953872 28430808 56861616