Search a number
-
+
56694264 = 23311239337
BaseRepresentation
bin1101100001000…
…1010111111000
310221200100220120
43120101113320
5104003204024
65343053240
71255615254
oct330212770
9127610816
1056694264
112a003270
1216ba1220
13b990403
14775b264
154e9d479
hex36115f8

56694264 has 64 divisors (see below), whose sum is σ = 161360640. Its totient is φ = 16431360.

The previous prime is 56694251. The next prime is 56694277. The reversal of 56694264 is 46249665.

56694264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56694251) and next prime (56694277).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1404 + ... + 10740.

It is an arithmetic number, because the mean of its divisors is an integer number (2521260).

Almost surely, 256694264 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 56694264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80680320).

56694264 is an abundant number, since it is smaller than the sum of its proper divisors (104666376).

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

56694264 is a wasteful number, since it uses less digits than its factorization.

56694264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9380 (or 9376 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 56694264 is about 7529.5593496565. The cubic root of 56694264 is about 384.1607942056.

It can be divided in two parts, 566 and 94264, that added together give a triangular number (94830 = T435).

The spelling of 56694264 in words is "fifty-six million, six hundred ninety-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 6072 9337 18674 28011 37348 56022 74696 102707 112044 205414 214751 224088 308121 410828 429502 616242 644253 821656 859004 1232484 1288506 1718008 2362261 2464968 2577012 4724522 5154024 7086783 9449044 14173566 18898088 28347132 56694264