Search a number
-
+
56766976 = 29747337
BaseRepresentation
bin1101100010001…
…1001000000000
310221211001122121
43120203020000
5104013020401
65344414024
71256340250
oct330431000
9127731577
1056766976
112a052962
1217017314
13b9b7536
147779960
154eb4ca1
hex3623200

56766976 has 80 divisors (see below), whose sum is σ = 132777216. Its totient is φ = 23740416.

The previous prime is 56766973. The next prime is 56766977. The reversal of 56766976 is 67966765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56766973) 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, 168280 + ... + 168616.

Almost surely, 256766976 is an apocalyptic number.

56766976 is a gapful number since it is divisible by the number (56) 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 56766976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66388608).

56766976 is an abundant number, since it is smaller than the sum of its proper divisors (76010240).

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

56766976 is an equidigital number, since it uses as much as digits as its factorization.

56766976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 393 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 52.

The square root of 56766976 is about 7534.3862391040. The cubic root of 56766976 is about 384.3249564126.

The spelling of 56766976 in words is "fifty-six million, seven hundred sixty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 256 329 337 376 448 512 658 674 752 896 1316 1348 1504 1792 2359 2632 2696 3008 3584 4718 5264 5392 6016 9436 10528 10784 12032 15839 18872 21056 21568 24064 31678 37744 42112 43136 63356 75488 84224 86272 110873 126712 150976 168448 172544 221746 253424 301952 443492 506848 603904 886984 1013696 1207808 1773968 2027392 3547936 4054784 7095872 8109568 14191744 28383488 56766976