Search a number
-
+
56529576 = 2339359
BaseRepresentation
bin1101011110100…
…1001010101000
310221101000000000
43113221022220
5103432421301
65335343000
71254331155
oct327511250
9127330000
1056529576
1129a00564
1216b21a60
13b93346c
14771722c
154e69786
hex35e92a8

56529576 has 80 divisors (see below), whose sum is σ = 159429600. Its totient is φ = 18790704.

The previous prime is 56529569. The next prime is 56529589. The reversal of 56529576 is 67592565.

56529576 is a `hidden beast` number, since 56 + 5 + 29 + 576 = 666.

56529576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 19 ways as a sum of consecutive naturals, for example, 157285 + ... + 157643.

It is an arithmetic number, because the mean of its divisors is an integer number (1992870).

Almost surely, 256529576 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 56529576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79714800).

56529576 is an abundant number, since it is smaller than the sum of its proper divisors (102900024).

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

56529576 is an frugal number, since it uses more digits than its factorization.

56529576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 364 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The square root of 56529576 is about 7518.6152980452. The cubic root of 56529576 is about 383.7884577033.

The spelling of 56529576 in words is "fifty-six million, five hundred twenty-nine thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 359 486 648 718 729 972 1077 1436 1458 1944 2154 2187 2872 2916 3231 4308 4374 5832 6462 6561 8616 8748 9693 12924 13122 17496 19386 19683 25848 26244 29079 38772 39366 52488 58158 77544 78732 87237 116316 157464 174474 232632 261711 348948 523422 697896 785133 1046844 1570266 2093688 2355399 3140532 4710798 6281064 7066197 9421596 14132394 18843192 28264788 56529576