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56613312 = 2632719739
BaseRepresentation
bin1101011111110…
…1100111000000
310221112020212100
43113331213000
5103443111222
65341230400
71255130250
oct327754700
9127466770
1056613312
1129a58468
1216b62400
13b962602
147739960
154e844ac
hex35fd9c0

56613312 has 168 divisors, whose sum is σ = 195478400. Its totient is φ = 15303168.

The previous prime is 56613299. The next prime is 56613313. The reversal of 56613312 is 21331665.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56613313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76239 + ... + 76977.

Almost surely, 256613312 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 56613312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97739200).

56613312 is an abundant number, since it is smaller than the sum of its proper divisors (138865088).

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

56613312 is a wasteful number, since it uses less digits than its factorization.

56613312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 770 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 56613312 is about 7524.1818159850. The cubic root of 56613312 is about 383.9778633072.

Adding to 56613312 its reverse (21331665), we get a palindrome (77944977).

The spelling of 56613312 in words is "fifty-six million, six hundred thirteen thousand, three hundred twelve".