Search a number
-
+
56755132 = 22724761101
BaseRepresentation
bin1101100010000…
…0001110111100
310221210110101221
43120200032330
5104012131012
65344243124
71256260600
oct330401674
9127713357
1056755132
112a044a75
12170104a4
13b9b2025
147775500
154eb1507
hex36203bc

56755132 has 72 divisors (see below), whose sum is σ = 121117248. Its totient is φ = 23184000.

The previous prime is 56755123. The next prime is 56755159. The reversal of 56755132 is 23155765.

It is a super-2 number, since 2×567551322 = 6442290016674848, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561882 + ... + 561982.

It is an arithmetic number, because the mean of its divisors is an integer number (1682184).

Almost surely, 256755132 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 56755132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60558624).

56755132 is an abundant number, since it is smaller than the sum of its proper divisors (64362116).

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

56755132 is a wasteful number, since it uses less digits than its factorization.

56755132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 218 counting only the distinct ones).

The product of its digits is 31500, while the sum is 34.

The square root of 56755132 is about 7533.6002017628. The cubic root of 56755132 is about 384.2982257221.

The spelling of 56755132 in words is "fifty-six million, seven hundred fifty-five thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 47 49 61 94 98 101 122 188 196 202 244 329 404 427 658 707 854 1316 1414 1708 2303 2828 2867 2989 4606 4747 4949 5734 5978 6161 9212 9494 9898 11468 11956 12322 18988 19796 20069 24644 33229 40138 43127 66458 80276 86254 132916 140483 172508 232603 280966 289567 301889 465206 561932 579134 603778 930412 1158268 1207556 2026969 4053938 8107876 14188783 28377566 56755132