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56768272 = 2411417867
BaseRepresentation
bin1101100010001…
…1011100010000
310221211010102121
43120203130100
5104013041042
65344424024
71256344111
oct330433420
9127733377
1056768272
112a053930
1217018014
13b9b7cc2
14777a208
154eb5367
hex3623710

56768272 has 40 divisors (see below), whose sum is σ = 122929632. Its totient is φ = 25171200.

The previous prime is 56768269. The next prime is 56768281. The reversal of 56768272 is 27286765.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3283 + ... + 11149.

Almost surely, 256768272 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 56768272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61464816).

56768272 is an abundant number, since it is smaller than the sum of its proper divisors (66161360).

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

56768272 is a wasteful number, since it uses less digits than its factorization.

56768272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7927 (or 7921 counting only the distinct ones).

The product of its digits is 282240, while the sum is 43.

The square root of 56768272 is about 7534.4722442916. The cubic root of 56768272 is about 384.3278811257.

The spelling of 56768272 in words is "fifty-six million, seven hundred sixty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 328 451 656 902 1804 3608 7216 7867 15734 31468 62936 86537 125872 173074 322547 346148 645094 692296 1290188 1384592 2580376 3548017 5160752 7096034 14192068 28384136 56768272