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56838915 = 355741163
BaseRepresentation
bin1101100011010…
…0101100000011
310221221201100000
43120310230003
5104022321130
65350131043
71260060060
oct330645403
9127851300
1056838915
112a0a1a11
1217050a83
13ba111c3
147797c67
154ecb260
hex3634b03

56838915 has 96 divisors (see below), whose sum is σ = 120347136. Its totient is φ = 25194240.

The previous prime is 56838877. The next prime is 56838917. The reversal of 56838915 is 51983865.

56838915 is a `hidden beast` number, since 568 + 3 + 89 + 1 + 5 = 666.

It is not a de Polignac number, because 56838915 - 26 = 56838851 is a prime.

It is a super-3 number, since 3×568389153 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (56838917) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 348624 + ... + 348786.

It is an arithmetic number, because the mean of its divisors is an integer number (1253616).

Almost surely, 256838915 is an apocalyptic number.

56838915 is an abundant number, since it is smaller than the sum of its proper divisors (63508221).

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

56838915 is a wasteful number, since it uses less digits than its factorization.

56838915 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 219 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 56838915 is about 7539.1587727014. The cubic root of 56838915 is about 384.4872355173.

The spelling of 56838915 in words is "fifty-six million, eight hundred thirty-eight thousand, nine hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 41 45 63 81 105 123 135 163 189 205 243 287 315 369 405 489 567 615 815 861 945 1107 1141 1215 1435 1467 1701 1845 2445 2583 2835 3321 3423 4305 4401 5535 5705 6683 7335 7749 8505 9963 10269 12915 13203 16605 17115 20049 22005 23247 30807 33415 38745 39609 46781 49815 51345 60147 66015 69741 92421 100245 116235 140343 154035 180441 198045 233905 277263 300735 348705 421029 462105 541323 701715 902205 1263087 1386315 1623969 2105145 2706615 3789261 6315435 8119845 11367783 18946305 56838915