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56485632 = 283721979
BaseRepresentation
bin1101011101111…
…0011100000000
310221021202201110
43113132130000
5103430020012
65334403320
71254056100
oct327363400
9127252643
1056485632
1129980545
1216b00540
13b919468
147705200
154e5b73c
hex35de700

56485632 has 216 divisors, whose sum is σ = 186412800. Its totient is φ = 15095808.

The previous prime is 56485619. The next prime is 56485633. The reversal of 56485632 is 23658465.

56485632 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 not an unprimeable number, because it can be changed into a prime (56485633) 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 23 ways as a sum of consecutive naturals, for example, 714969 + ... + 715047.

Almost surely, 256485632 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 56485632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93206400).

56485632 is an abundant number, since it is smaller than the sum of its proper divisors (129927168).

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

56485632 is a wasteful number, since it uses less digits than its factorization.

56485632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 110 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 56485632 is about 7515.6923832738. The cubic root of 56485632 is about 383.6889842760.

The spelling of 56485632 in words is "fifty-six million, four hundred eighty-five thousand, six hundred thirty-two".