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656516052 = 2232149122393
BaseRepresentation
bin100111001000011…
…010001111010100
31200202100110201100
4213020122033110
52321032003202
6145051230100
722161202653
oct4710321724
91622313640
10656516052
1130764a255
12163a48330
13a6025b4a
146329919a
153c98341c
hex2721a3d4

656516052 has 36 divisors (see below), whose sum is σ = 1670678100. Its totient is φ = 217368192.

The previous prime is 656516051. The next prime is 656516057. The reversal of 656516052 is 250615656.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 163942416 + 492573636 = 12804^2 + 22194^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 656515998 and 656516016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656516051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55833 + ... + 66560.

It is an arithmetic number, because the mean of its divisors is an integer number (46407725).

Almost surely, 2656516052 is an apocalyptic number.

It is an amenable number.

656516052 is an abundant number, since it is smaller than the sum of its proper divisors (1014162048).

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

656516052 is a wasteful number, since it uses less digits than its factorization.

656516052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122552 (or 122547 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 656516052 is about 25622.5691920229. The cubic root of 656516052 is about 869.1240807636.

The spelling of 656516052 in words is "six hundred fifty-six million, five hundred sixteen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 596 894 1341 1788 2682 5364 122393 244786 367179 489572 734358 1101537 1468716 2203074 4406148 18236557 36473114 54709671 72946228 109419342 164129013 218838684 328258026 656516052