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655056864 = 2532711109271
BaseRepresentation
bin100111000010110…
…101111111100000
31200122121100002100
4213002311333200
52320143304424
6145000050400
722142614530
oct4702657740
91618540070
10655056864
11306842a10
12163463a00
13a5934917
1462dd94c0
153c795dc9
hex270b5fe0

655056864 has 288 divisors, whose sum is σ = 2352430080. Its totient is φ = 167961600.

The previous prime is 655056827. The next prime is 655056887. The reversal of 655056864 is 468650556.

It is a happy number.

655056864 is a `hidden beast` number, since 65 + 505 + 6 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2417049 + ... + 2417319.

It is an arithmetic number, because the mean of its divisors is an integer number (8168160).

Almost surely, 2655056864 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 655056864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176215040).

655056864 is an abundant number, since it is smaller than the sum of its proper divisors (1697373216).

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

655056864 is a wasteful number, since it uses less digits than its factorization.

655056864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 655056864 is about 25594.0786901971. The cubic root of 655056864 is about 868.4796912494.

The spelling of 655056864 in words is "six hundred fifty-five million, fifty-six thousand, eight hundred sixty-four".