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56696544 = 2533211311
BaseRepresentation
bin1101100001000…
…1111011100000
310221200111001000
43120101323200
5104003242134
65343112000
71255625022
oct330217340
9127614030
1056696544
112a004a53
1216ba2600
13b991468
14775c012
154e9de99
hex3611ee0

56696544 has 96 divisors (see below), whose sum is σ = 166682880. Its totient is φ = 18748800.

The previous prime is 56696533. The next prime is 56696557. The reversal of 56696544 is 44569665.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 56696544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182149 + ... + 182459.

It is an arithmetic number, because the mean of its divisors is an integer number (1736280).

Almost surely, 256696544 is an apocalyptic number.

56696544 is a gapful number since it is divisible by the number (54) 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 56696544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83341440).

56696544 is an abundant number, since it is smaller than the sum of its proper divisors (109986336).

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

56696544 is a wasteful number, since it uses less digits than its factorization.

56696544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 527 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 56696544 is about 7529.7107514167. The cubic root of 56696544 is about 384.1659439027.

It can be divided in two parts, 566965 and 44, that added together give a square (567009 = 7532).

The spelling of 56696544 in words is "fifty-six million, six hundred ninety-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 211 216 288 311 422 432 622 633 844 864 933 1244 1266 1688 1866 1899 2488 2532 2799 3376 3732 3798 4976 5064 5598 5697 6752 7464 7596 8397 9952 10128 11196 11394 14928 15192 16794 20256 22392 22788 29856 30384 33588 44784 45576 60768 65621 67176 89568 91152 131242 134352 182304 196863 262484 268704 393726 524968 590589 787452 1049936 1181178 1574904 1771767 2099872 2362356 3149808 3543534 4724712 6299616 7087068 9449424 14174136 18898848 28348272 56696544