Search a number
-
+
56053152 = 25321911019
BaseRepresentation
bin1101010111010…
…0110110100000
310220110210110200
43111310312200
5103322200102
65321225200
71250305161
oct325646640
9126423420
1056053152
1129705621
1216932200
13b7c765c
147631768
154dc351c
hex3574da0

56053152 has 72 divisors (see below), whose sum is σ = 160392960. Its totient is φ = 18568320.

The previous prime is 56053147. The next prime is 56053159. The reversal of 56053152 is 25135065.

56053152 is a `hidden beast` number, since 5 + 605 + 3 + 1 + 52 = 666.

56053152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (56053159) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 54499 + ... + 55517.

It is an arithmetic number, because the mean of its divisors is an integer number (2227680).

Almost surely, 256053152 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 56053152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

56053152 is an abundant number, since it is smaller than the sum of its proper divisors (104339808).

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

56053152 is a wasteful number, since it uses less digits than its factorization.

56053152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 56053152 is about 7486.8652986413. The cubic root of 56053152 is about 382.7072412768.

The spelling of 56053152 in words is "fifty-six million, fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 191 288 382 573 764 1019 1146 1528 1719 2038 2292 3056 3057 3438 4076 4584 6112 6114 6876 8152 9168 9171 12228 13752 16304 18336 18342 24456 27504 32608 36684 48912 55008 73368 97824 146736 194629 293472 389258 583887 778516 1167774 1557032 1751661 2335548 3114064 3503322 4671096 6228128 7006644 9342192 14013288 18684384 28026576 56053152