Search a number
-
+
56023272 = 2333433599
BaseRepresentation
bin1101010110110…
…1100011101000
310220102021111000
43111231203220
5103320221042
65320435000
71250122104
oct325554350
9126367430
1056023272
1129695128
1216918a60
13b7b6b86
147624904
154db974c
hex356d8e8

56023272 has 64 divisors (see below), whose sum is σ = 156240000. Its totient is φ = 18600192.

The previous prime is 56023271. The next prime is 56023277. The reversal of 56023272 is 27232065.

56023272 is a `hidden beast` number, since 560 + 2 + 32 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56023271) 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, 93229 + ... + 93827.

It is an arithmetic number, because the mean of its divisors is an integer number (2441250).

Almost surely, 256023272 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 56023272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78120000).

56023272 is an abundant number, since it is smaller than the sum of its proper divisors (100216728).

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

56023272 is a wasteful number, since it uses less digits than its factorization.

56023272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 56023272 is about 7484.8695379412. The cubic root of 56023272 is about 382.6392265177.

It can be divided in two parts, 560 and 23272, that added together give a palindrome (23832).

The spelling of 56023272 in words is "fifty-six million, twenty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 433 599 866 1198 1299 1732 1797 2396 2598 3464 3594 3897 4792 5196 5391 7188 7794 10392 10782 11691 14376 15588 16173 21564 23382 31176 32346 43128 46764 64692 93528 129384 259367 518734 778101 1037468 1556202 2074936 2334303 3112404 4668606 6224808 7002909 9337212 14005818 18674424 28011636 56023272