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12642525 = 3252723349
BaseRepresentation
bin110000001110…
…100011011101
3212210022021200
4300032203131
511214030100
61130550113
7212313450
oct60164335
925708250
1012642525
117155575
124298339
1328085ac
141971497
15119ae00
hexc0e8dd

12642525 has 72 divisors (see below), whose sum is σ = 27081600. Its totient is φ = 5512320.

The previous prime is 12642517. The next prime is 12642533. The reversal of 12642525 is 52524621.

12642525 is a `hidden beast` number, since 12 + 642 + 5 + 2 + 5 = 666.

12642525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12642517) and next prime (12642533).

It is not a de Polignac number, because 12642525 - 23 = 12642517 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36051 + ... + 36399.

Almost surely, 212642525 is an apocalyptic number.

12642525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12642525 is an abundant number, since it is smaller than the sum of its proper divisors (14439075).

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

12642525 is a wasteful number, since it uses less digits than its factorization.

12642525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 387 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 12642525 is about 3555.6328550625. The cubic root of 12642525 is about 232.9581669511.

The spelling of 12642525 in words is "twelve million, six hundred forty-two thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 23 25 35 45 63 69 75 105 115 161 175 207 225 315 345 349 483 525 575 805 1035 1047 1449 1575 1725 1745 2415 2443 3141 4025 5175 5235 7245 7329 8027 8725 12075 12215 15705 21987 24081 26175 36225 36645 40135 56189 61075 72243 78525 109935 120405 168567 183225 200675 280945 361215 505701 549675 602025 842835 1404725 1806075 2528505 4214175 12642525