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56841824 = 25131071277
BaseRepresentation
bin1101100011010…
…1011001100000
310221221212022202
43120311121200
5104022414244
65350152332
71260101414
oct330653140
9127855282
1056841824
112a0a4116
12170526a8
13ba12620
147798d44
154ecc04e
hex3635660

56841824 has 48 divisors (see below), whose sum is σ = 121737168. Its totient is φ = 25969152.

The previous prime is 56841823. The next prime is 56841853. The reversal of 56841824 is 42814865.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56841823) 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, 43874 + ... + 45150.

It is an arithmetic number, because the mean of its divisors is an integer number (2536191).

Almost surely, 256841824 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 56841824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60868584).

56841824 is an abundant number, since it is smaller than the sum of its proper divisors (64895344).

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

56841824 is a wasteful number, since it uses less digits than its factorization.

56841824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1399 counting only the distinct ones).

The product of its digits is 61440, while the sum is 38.

The square root of 56841824 is about 7539.3516962667. The cubic root of 56841824 is about 384.4937947223.

The spelling of 56841824 in words is "fifty-six million, eight hundred forty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 107 208 214 416 428 856 1277 1391 1712 2554 2782 3424 5108 5564 10216 11128 16601 20432 22256 33202 40864 44512 66404 132808 136639 265616 273278 531232 546556 1093112 1776307 2186224 3552614 4372448 7105228 14210456 28420912 56841824