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56931408 = 24322913633
BaseRepresentation
bin1101100100101…
…1010001010000
310222010102012200
43121023101100
5104033301113
65352123200
71260623532
oct331132120
9128112180
1056931408
112a155456
1217096500
13ba44331
1477bd852
154ee8873
hex364b450

56931408 has 60 divisors (see below), whose sum is σ = 164835060. Its totient is φ = 18321408.

The previous prime is 56931403. The next prime is 56931451. The reversal of 56931408 is 80413965.

It can be written as a sum of positive squares in 2 ways, for example, as 35141184 + 21790224 = 5928^2 + 4668^2 .

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

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56931403) 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 11 ways as a sum of consecutive naturals, for example, 2641 + ... + 10992.

It is an arithmetic number, because the mean of its divisors is an integer number (2747251).

Almost surely, 256931408 is an apocalyptic number.

56931408 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

56931408 is an abundant number, since it is smaller than the sum of its proper divisors (107903652).

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

56931408 is a wasteful number, since it uses less digits than its factorization.

56931408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13676 (or 13667 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 56931408 is about 7545.2904516659. The cubic root of 56931408 is about 384.6956790064.

The spelling of 56931408 in words is "fifty-six million, nine hundred thirty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 13633 27266 40899 54532 81798 109064 122697 163596 218128 245394 327192 395357 490788 654384 790714 981576 1186071 1581428 1963152 2372142 3162856 3558213 4744284 6325712 7116426 9488568 14232852 18977136 28465704 56931408