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56908544 = 287112887
BaseRepresentation
bin1101100100010…
…1101100000000
310222002020211212
43121011230000
5104032033134
65351425252
71260500060
oct331055400
9128066755
1056908544
112a13a260
1217085228
13ba36ac4
1477b53a0
154ee1bce
hex3645b00

56908544 has 72 divisors (see below), whose sum is σ = 141673728. Its totient is φ = 22164480.

The previous prime is 56908543. The next prime is 56908549. The reversal of 56908544 is 44580965.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (56908541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18269 + ... + 21155.

Almost surely, 256908544 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 56908544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70836864).

56908544 is an abundant number, since it is smaller than the sum of its proper divisors (84765184).

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

56908544 is a wasteful number, since it uses less digits than its factorization.

56908544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 56908544 is about 7543.7751822281. The cubic root of 56908544 is about 384.6441734020.

The spelling of 56908544 in words is "fifty-six million, nine hundred eight thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1232 1408 1792 2464 2816 2887 4928 5774 9856 11548 19712 20209 23096 31757 40418 46192 63514 80836 92384 127028 161672 184768 222299 254056 323344 369536 444598 508112 646688 739072 889196 1016224 1293376 1778392 2032448 2586752 3556784 4064896 5173504 7113568 8129792 14227136 28454272 56908544