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56941092 = 223213172421
BaseRepresentation
bin1101100100110…
…1101000100100
310222010220111100
43121031220210
5104034103332
65352240100
71260664005
oct331155044
9128126440
1056941092
112a16175a
12170a0030
13ba48870
1477c31ac
154eeb67c
hex364da24

56941092 has 108 divisors (see below), whose sum is σ = 165051796. Its totient is φ = 16450560.

The previous prime is 56941091. The next prime is 56941097. The reversal of 56941092 is 29014965.

56941092 is a `hidden beast` number, since 569 + 4 + 1 + 0 + 92 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3709476 + 53231616 = 1926^2 + 7296^2 .

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56941091) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 135042 + ... + 135462.

Almost surely, 256941092 is an apocalyptic number.

56941092 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 56941092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82525898).

56941092 is an abundant number, since it is smaller than the sum of its proper divisors (108110704).

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

56941092 is a wasteful number, since it uses less digits than its factorization.

56941092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 56941092 is about 7545.9321491781. The cubic root of 56941092 is about 384.7174899416.

It can be divided in two parts, 5694 and 1092, that added together give a triangular number (6786 = T116).

The spelling of 56941092 in words is "fifty-six million, nine hundred forty-one thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 289 306 421 442 468 578 612 663 842 867 884 1156 1263 1326 1684 1734 1989 2526 2601 2652 3468 3757 3789 3978 5052 5202 5473 7157 7514 7578 7956 10404 10946 11271 14314 15028 15156 16419 21471 21892 22542 28628 32838 33813 42942 45084 49257 64413 65676 67626 85884 93041 98514 121669 128826 135252 186082 197028 243338 257652 279123 365007 372164 486676 558246 730014 837369 1095021 1116492 1460028 1581697 1674738 2190042 3163394 3349476 4380084 4745091 6326788 9490182 14235273 18980364 28470546 56941092