Search a number
-
+
56541248 = 265379211
BaseRepresentation
bin1101011110110…
…0000001000000
310221101121000022
43113230001000
5103433304443
65335513012
71254410201
oct327540100
9127347008
1056541248
1129a09305
1216b28768
13b93887a
14771b5a8
154e6ce68
hex35ec040

56541248 has 56 divisors (see below), whose sum is σ = 116311680. Its totient is φ = 27256320.

The previous prime is 56541239. The next prime is 56541257. The reversal of 56541248 is 84214565.

It is an interprime number because it is at equal distance from previous prime (56541239) and next prime (56541257).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267863 + ... + 268073.

Almost surely, 256541248 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 56541248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58155840).

56541248 is an abundant number, since it is smaller than the sum of its proper divisors (59770432).

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

56541248 is a wasteful number, since it uses less digits than its factorization.

56541248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 345 counting only the distinct ones).

The product of its digits is 38400, while the sum is 35.

The square root of 56541248 is about 7519.3914647397. The cubic root of 56541248 is about 383.8148702524.

The spelling of 56541248 in words is "fifty-six million, five hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 53 64 79 106 158 211 212 316 422 424 632 844 848 1264 1688 1696 2528 3376 3392 4187 5056 6752 8374 11183 13504 16669 16748 22366 33338 33496 44732 66676 66992 89464 133352 133984 178928 266704 267968 357856 533408 715712 883457 1066816 1766914 3533828 7067656 14135312 28270624 56541248