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56053632 = 273612393
BaseRepresentation
bin1101010111010…
…0111110000000
310220110211010110
43111310332000
5103322204012
65321231320
71250306445
oct325647600
9126424113
1056053632
1129705a18
1216932540
13b7c793b
1476319cc
154dc373c
hex3574f80

56053632 has 64 divisors (see below), whose sum is σ = 151396560. Its totient is φ = 18370560.

The previous prime is 56053619. The next prime is 56053633. The reversal of 56053632 is 23635065.

56053632 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 (64).

It is a self number, because there is not a number n which added to its sum of digits gives 56053632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56053633) 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, 22228 + ... + 24620.

Almost surely, 256053632 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 56053632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75698280).

56053632 is an abundant number, since it is smaller than the sum of its proper divisors (95342928).

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

56053632 is a wasteful number, since it uses less digits than its factorization.

56053632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 56053632 is about 7486.8973547124. The cubic root of 56053632 is about 382.7083336861.

Adding to 56053632 its reverse (23635065), we get a palindrome (79688697).

The spelling of 56053632 in words is "fifty-six million, fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 366 384 488 732 976 1464 1952 2393 2928 3904 4786 5856 7179 7808 9572 11712 14358 19144 23424 28716 38288 57432 76576 114864 145973 153152 229728 291946 306304 437919 459456 583892 875838 918912 1167784 1751676 2335568 3503352 4671136 7006704 9342272 14013408 18684544 28026816 56053632