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495556056 = 23341574871
BaseRepresentation
bin11101100010011…
…001010111011000
31021112110212010000
4131202121113120
52003330243211
6121101253000
715165104562
oct3542312730
91245425100
10495556056
11234801666
12119b64160
137b88a448
1449b5a332
152d78b656
hex1d8995d8

495556056 has 80 divisors (see below), whose sum is σ = 1397143440. Its totient is φ = 164099520.

The previous prime is 495556021. The next prime is 495556057. The reversal of 495556056 is 650655594.

495556056 is a `hidden beast` number, since 4 + 95 + 556 + 0 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495556057) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 99301 + ... + 104171.

It is an arithmetic number, because the mean of its divisors is an integer number (17464293).

Almost surely, 2495556056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495556056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698571720).

495556056 is an abundant number, since it is smaller than the sum of its proper divisors (901587384).

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

495556056 is a wasteful number, since it uses less digits than its factorization.

495556056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The square root of 495556056 is about 22261.0883830957. The cubic root of 495556056 is about 791.3420844740.

It can be divided in two parts, 49555 and 6056, that added together give a triangular number (55611 = T333).

The spelling of 495556056 in words is "four hundred ninety-five million, five hundred fifty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 157 162 216 314 324 471 628 648 942 1256 1413 1884 2826 3768 4239 4871 5652 8478 9742 11304 12717 14613 16956 19484 25434 29226 33912 38968 43839 50868 58452 87678 101736 116904 131517 175356 263034 350712 394551 526068 764747 789102 1052136 1529494 1578204 2294241 3058988 3156408 4588482 6117976 6882723 9176964 13765446 18353928 20648169 27530892 41296338 55061784 61944507 82592676 123889014 165185352 247778028 495556056