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56058912 = 25337132331
BaseRepresentation
bin1101010111011…
…0010000100000
310220111002101000
43111312100200
5103322341122
65321312000
71250331030
oct325662040
9126432330
1056058912
1129709988
1216935600
13b7ca170
1476338c0
154dc50ac
hex3576420

56058912 has 384 divisors, whose sum is σ = 216760320. Its totient is φ = 13685760.

The previous prime is 56058887. The next prime is 56058913. The reversal of 56058912 is 21985065.

It is a happy number.

56058912 is a `hidden beast` number, since 5 + 60 + 589 + 12 = 666.

It is a super-2 number, since 2×560589122 = 6285203229247488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56058913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1808337 + ... + 1808367.

It is an arithmetic number, because the mean of its divisors is an integer number (564480).

Almost surely, 256058912 is an apocalyptic number.

56058912 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

56058912 is the 3744-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56058912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108380160).

56058912 is an abundant number, since it is smaller than the sum of its proper divisors (160701408).

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

56058912 is a wasteful number, since it uses less digits than its factorization.

56058912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 56058912 is about 7487.2499624361. The cubic root of 56058912 is about 382.7203497767.

The spelling of 56058912 in words is "fifty-six million, fifty-eight thousand, nine hundred twelve".