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56076576 = 25323109233
BaseRepresentation
bin1101010111101…
…0100100100000
310220111222121020
43111322210200
5103323422301
65321525440
71250433363
oct325724440
9126458536
1056076576
1129721186
1216943880
13b80520a
14763a0da
154dca436
hex357a920

56076576 has 96 divisors (see below), whose sum is σ = 155675520. Its totient is φ = 17639424.

The previous prime is 56076563. The next prime is 56076577. The reversal of 56076576 is 67567065.

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

It is not an unprimeable number, because it can be changed into a prime (56076577) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240556 + ... + 240788.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 256076576 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 56076576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77837760).

56076576 is an abundant number, since it is smaller than the sum of its proper divisors (99598944).

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

56076576 is a wasteful number, since it uses less digits than its factorization.

56076576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The square root of 56076576 is about 7488.4294748632. The cubic root of 56076576 is about 382.7605435781.

The spelling of 56076576 in words is "fifty-six million, seventy-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 109 138 184 218 233 276 327 368 436 466 552 654 699 736 872 932 1104 1308 1398 1744 1864 2208 2507 2616 2796 3488 3728 5014 5232 5359 5592 7456 7521 10028 10464 10718 11184 15042 16077 20056 21436 22368 25397 30084 32154 40112 42872 50794 60168 64308 76191 80224 85744 101588 120336 128616 152382 171488 203176 240672 257232 304764 406352 514464 584131 609528 812704 1168262 1219056 1752393 2336524 2438112 3504786 4673048 7009572 9346096 14019144 18692192 28038288 56076576