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52584525 = 3352731359
BaseRepresentation
bin1100100010011…
…0000001001101
310122221120102000
43020212001031
5101430201100
65115022513
71205650440
oct310460115
9118846360
1052584525
1127756594
121573aa39
13ab81906
146dab657
15493a900
hex322604d

52584525 has 96 divisors (see below), whose sum is σ = 114278400. Its totient is φ = 23198400.

The previous prime is 52584523. The next prime is 52584529. The reversal of 52584525 is 52548525.

It is a happy number.

52584525 is a `hidden beast` number, since 52 + 5 + 84 + 525 = 666.

It is not a de Polignac number, because 52584525 - 21 = 52584523 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 52584525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52584523) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146296 + ... + 146654.

It is an arithmetic number, because the mean of its divisors is an integer number (1190400).

Almost surely, 252584525 is an apocalyptic number.

It is an amenable number.

52584525 is an abundant number, since it is smaller than the sum of its proper divisors (61693875).

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

52584525 is a wasteful number, since it uses less digits than its factorization.

52584525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 405 counting only the distinct ones).

The product of its digits is 80000, while the sum is 36.

The square root of 52584525 is about 7251.5188064295. The cubic root of 52584525 is about 374.6444630224.

The spelling of 52584525 in words is "fifty-two million, five hundred eighty-four thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 31 35 45 63 75 93 105 135 155 175 189 217 225 279 315 359 465 525 651 675 775 837 945 1077 1085 1395 1575 1795 1953 2325 2513 3231 3255 4185 4725 5385 5425 5859 6975 7539 8975 9693 9765 11129 12565 16155 16275 20925 22617 26925 29295 33387 37695 48465 48825 55645 62825 67851 77903 80775 100161 113085 146475 166935 188475 233709 242325 278225 300483 339255 389515 500805 565425 701127 834675 1168545 1502415 1696275 1947575 2103381 2504025 3505635 5842725 7512075 10516905 17528175 52584525