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56500032 = 2631032857
BaseRepresentation
bin1101011110000…
…1111101000000
310221022111110210
43113201331000
5103431000112
65334554120
71254146061
oct327417500
9127274423
1056500032
1129990346
1216b08940
13b922b94
14770a568
154e60b3c
hex35e1f40

56500032 has 56 divisors (see below), whose sum is σ = 150993856. Its totient is φ = 18643968.

The previous prime is 56500021. The next prime is 56500039. The reversal of 56500032 is 23000565.

56500032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 56499981 and 56500008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56500039) 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 7 ways as a sum of consecutive naturals, for example, 18348 + ... + 21204.

Almost surely, 256500032 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 56500032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75496928).

56500032 is an abundant number, since it is smaller than the sum of its proper divisors (94493824).

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

56500032 is a wasteful number, since it uses less digits than its factorization.

56500032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 56500032 is about 7516.6503177945. The cubic root of 56500032 is about 383.7215863835.

Adding to 56500032 its reverse (23000565), we get a palindrome (79500597).

The spelling of 56500032 in words is "fifty-six million, five hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 192 206 309 412 618 824 1236 1648 2472 2857 3296 4944 5714 6592 8571 9888 11428 17142 19776 22856 34284 45712 68568 91424 137136 182848 274272 294271 548544 588542 882813 1177084 1765626 2354168 3531252 4708336 7062504 9416672 14125008 18833344 28250016 56500032