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56776368 = 24311293367
BaseRepresentation
bin1101100010010…
…1011010110000
310221211112112110
43120211122300
5104013320433
65344525320
71256406525
oct330453260
9127745473
1056776368
112a059a20
1217020840
13b9bb8ac
14777d14c
154eb7963
hex36256b0

56776368 has 80 divisors (see below), whose sum is σ = 160989696. Its totient is φ = 17099520.

The previous prime is 56776361. The next prime is 56776373. The reversal of 56776368 is 86367765.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (56776361) 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, 154521 + ... + 154887.

Almost surely, 256776368 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 56776368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80494848).

56776368 is an abundant number, since it is smaller than the sum of its proper divisors (104213328).

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

56776368 is a wasteful number, since it uses less digits than its factorization.

56776368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 676 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 48.

The square root of 56776368 is about 7535.0094890451. The cubic root of 56776368 is about 384.3461505481.

The spelling of 56776368 in words is "fifty-six million, seven hundred seventy-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 293 367 528 586 734 879 1101 1172 1468 1758 2202 2344 2936 3223 3516 4037 4404 4688 5872 6446 7032 8074 8808 9669 12111 12892 14064 16148 17616 19338 24222 25784 32296 38676 48444 51568 64592 77352 96888 107531 154704 193776 215062 322593 430124 645186 860248 1182841 1290372 1720496 2365682 2580744 3548523 4731364 5161488 7097046 9462728 14194092 18925456 28388184 56776368