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553856900 = 22525538569
BaseRepresentation
bin100001000000110…
…010111110000100
31102121011211211112
4201000302332010
52113241410100
6130543024152
716503464102
oct4100627604
91377154745
10553856900
11264701983
1213559b058
138a990b9c
14537b4c72
1533955b35
hex21032f84

553856900 has 18 divisors (see below), whose sum is σ = 1201869690. Its totient is φ = 221542720.

The previous prime is 553856893. The next prime is 553856903. The reversal of 553856900 is 9658355.

553856900 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 7744 + 553849156 = 88^2 + 23534^2 .

It is a super-2 number, since 2×5538569002 = 613514931355220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (553856903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2769185 + ... + 2769384.

Almost surely, 2553856900 is an apocalyptic number.

553856900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

553856900 is an abundant number, since it is smaller than the sum of its proper divisors (648012790).

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

553856900 is a wasteful number, since it uses less digits than its factorization.

553856900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5538583 (or 5538576 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 41.

The square root of 553856900 is about 23534.1645273419. The cubic root of 553856900 is about 821.2319870917.

The spelling of 553856900 in words is "five hundred fifty-three million, eight hundred fifty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 5538569 11077138 22154276 27692845 55385690 110771380 138464225 276928450 553856900