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56055144 = 23329431873
BaseRepresentation
bin1101010111010…
…1010101101000
310220110220012110
43111311111220
5103322231034
65321242320
71250314035
oct325652550
9126426173
1056055144
1129707072
12169333a0
13b7c8532
14763238c
154dc3de9
hex3575568

56055144 has 64 divisors (see below), whose sum is σ = 148420800. Its totient is φ = 17611776.

The previous prime is 56055143. The next prime is 56055151. The reversal of 56055144 is 44155065.

It is not an unprimeable number, because it can be changed into a prime (56055143) 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, 28992 + ... + 30864.

It is an arithmetic number, because the mean of its divisors is an integer number (2319075).

Almost surely, 256055144 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 56055144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74210400).

56055144 is an abundant number, since it is smaller than the sum of its proper divisors (92365656).

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

56055144 is a wasteful number, since it uses less digits than its factorization.

56055144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 56055144 is about 7486.9983304392. The cubic root of 56055144 is about 382.7117747346.

The spelling of 56055144 in words is "fifty-six million, fifty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 29 43 58 86 87 116 129 172 174 232 258 344 348 516 696 1032 1247 1873 2494 3741 3746 4988 5619 7482 7492 9976 11238 14964 14984 22476 29928 44952 54317 80539 108634 161078 162951 217268 241617 322156 325902 434536 483234 644312 651804 966468 1303608 1932936 2335631 4671262 7006893 9342524 14013786 18685048 28027572 56055144