Search a number
-
+
56501088 = 2537831013
BaseRepresentation
bin1101011110001…
…0001101100000
310221022112220220
43113202031200
5103431013323
65335003040
71254152130
oct327421540
9127275826
1056501088
1129991116
1216b09480
13b9234c7
14770aac0
154e610e3
hex35e2360

56501088 has 96 divisors (see below), whose sum is σ = 171714816. Its totient is φ = 15932928.

The previous prime is 56501069. The next prime is 56501099. The reversal of 56501088 is 88010565.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55270 + ... + 56282.

It is an arithmetic number, because the mean of its divisors is an integer number (1788696).

Almost surely, 256501088 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 56501088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85857408).

56501088 is an abundant number, since it is smaller than the sum of its proper divisors (115213728).

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

56501088 is a wasteful number, since it uses less digits than its factorization.

56501088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 56501088 is about 7516.7205615215. The cubic root of 56501088 is about 383.7239769867.

The spelling of 56501088 in words is "fifty-six million, five hundred one thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 83 84 96 112 166 168 224 249 332 336 498 581 664 672 996 1013 1162 1328 1743 1992 2026 2324 2656 3039 3486 3984 4052 4648 6078 6972 7091 7968 8104 9296 12156 13944 14182 16208 18592 21273 24312 27888 28364 32416 42546 48624 55776 56728 84079 85092 97248 113456 168158 170184 226912 252237 336316 340368 504474 588553 672632 680736 1008948 1177106 1345264 1765659 2017896 2354212 2690528 3531318 4035792 4708424 7062636 8071584 9416848 14125272 18833696 28250544 56501088