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56924192 = 2513193709
BaseRepresentation
bin1101100100100…
…1100000100000
310222010001022102
43121021200200
5104033033232
65352025532
71260563513
oct331114040
9128101272
1056924192
112a14aa96
12170922a8
13ba40c70
1477bad7a
154ee6662
hex3649820

56924192 has 48 divisors (see below), whose sum is σ = 121486680. Its totient is φ = 26099712.

The previous prime is 56924123. The next prime is 56924221. The reversal of 56924192 is 29142965.

It can be written as a sum of positive squares in 4 ways, for example, as 20394256 + 36529936 = 4516^2 + 6044^2 .

Together with 64562488 it forms an amicable pair .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79934 + ... + 80642.

Almost surely, 256924192 is an apocalyptic number.

56924192 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56924192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60743340).

56924192 is an abundant number, since it is smaller than the sum of its proper divisors (64562488).

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

56924192 is a wasteful number, since it uses less digits than its factorization.

56924192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 917 counting only the distinct ones).

The product of its digits is 38880, while the sum is 38.

The square root of 56924192 is about 7544.8122574389. The cubic root of 56924192 is about 384.6794250533.

The spelling of 56924192 in words is "fifty-six million, nine hundred twenty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 193 208 386 416 709 772 1418 1544 2509 2836 3088 5018 5672 6176 9217 10036 11344 18434 20072 22688 36868 40144 73736 80288 136837 147472 273674 294944 547348 1094696 1778881 2189392 3557762 4378784 7115524 14231048 28462096 56924192