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52292255625 = 325430492
BaseRepresentation
bin110000101100110111…
…000111111110001001
311222222100002211012100
4300230313013332021
51324043304140000
640004524304013
73530564560521
oct605467077611
9158870084170
1052292255625
11201a4684695
12a1746a2009
134c14932bbc
142760d44681
151560c36a00
hexc2cdc7f89

52292255625 has 45 divisors (see below), whose sum is σ = 94417326003. Its totient is φ = 27880056000.

The previous prime is 52292255623. The next prime is 52292255633. The reversal of 52292255625 is 52655229225.

The square root of 52292255625 is 228675.

It is a perfect power (a square), and thus also a powerful number.

52292255625 is a `hidden beast` number, since 5 + 2 + 2 + 92 + 2 + 556 + 2 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 52157881161 + 134374464 = 228381^2 + 11592^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 52292255625 - 21 = 52292255623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (52292255623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17149101 + ... + 17152149.

Almost surely, 252292255625 is an apocalyptic number.

52292255625 is the 228675-th square number.

52292255625 is the 114338-th centered octagonal number.

It is an amenable number.

52292255625 is a deficient number, since it is larger than the sum of its proper divisors (42125070378).

52292255625 is an frugal number, since it uses more digits than its factorization.

52292255625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6124 (or 3057 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 45.

The spelling of 52292255625 in words is "fifty-two billion, two hundred ninety-two million, two hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 3049 5625 9147 15245 27441 45735 76225 137205 228675 381125 686025 1143375 1905625 3430125 5716875 9296401 17150625 27889203 46482005 83667609 139446015 232410025 418338045 697230075 1162050125 2091690225 3486150375 5810250625 10458451125 17430751875 52292255625