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557903106 = 23310331539
BaseRepresentation
bin100001010000001…
…110110100000010
31102212210102012000
4201100032310002
52120310344411
6131205444430
716553045445
oct4120166402
91385712160
10557903106
11266a15952
12136a10716
138b7797a7
145414965c
1533ea4956
hex2140ed02

557903106 has 16 divisors (see below), whose sum is σ = 1239784800. Its totient is φ = 185967684.

The previous prime is 557903089. The next prime is 557903107. The reversal of 557903106 is 601309755.

It is a happy number.

557903106 is a `hidden beast` number, since 557 + 90 + 3 + 10 + 6 = 666.

It is a super-2 number, since 2×5579031062 = 622511751368894472, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (557903107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5165716 + ... + 5165823.

It is an arithmetic number, because the mean of its divisors is an integer number (77486550).

Almost surely, 2557903106 is an apocalyptic number.

557903106 is an abundant number, since it is smaller than the sum of its proper divisors (681881694).

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

557903106 is a wasteful number, since it uses less digits than its factorization.

557903106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10331550 (or 10331544 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 557903106 is about 23619.9726079435. The cubic root of 557903106 is about 823.2269757584.

It can be divided in two parts, 557903 and 106, that added together give a square (558009 = 7472).

The spelling of 557903106 in words is "five hundred fifty-seven million, nine hundred three thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 10331539 20663078 30994617 61989234 92983851 185967702 278951553 557903106