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553468608 = 263271112479
BaseRepresentation
bin100000111111010…
…100001011000000
31102120110010012100
4200333110023000
52113141443413
6130530430400
716500256050
oct4077241300
91376403170
10553468608
11264467180
12135432400
138a886224
1453713560
15338caa73
hex20fd42c0

553468608 has 168 divisors, whose sum is σ = 1978030080. Its totient is φ = 143746560.

The previous prime is 553468603. The next prime is 553468627. The reversal of 553468608 is 806864355.

553468608 is a `hidden beast` number, since 5 + 5 + 34 + 6 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (553468603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38113 + ... + 50591.

Almost surely, 2553468608 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 553468608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989015040).

553468608 is an abundant number, since it is smaller than the sum of its proper divisors (1424561472).

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

553468608 is a wasteful number, since it uses less digits than its factorization.

553468608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12515 (or 12502 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 553468608 is about 23525.9135423048. The cubic root of 553468608 is about 821.0400287487.

The spelling of 553468608 in words is "five hundred fifty-three million, four hundred sixty-eight thousand, six hundred eight".