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12814425 = 3252132337
BaseRepresentation
bin110000111000…
…100001011001
3220010001002100
4300320201121
511240030200
61134354013
7213630561
oct60704131
926101070
1012814425
117262738
12435b909
132868900
1419b7da1
1511d1d00
hexc38859

12814425 has 54 divisors (see below), whose sum is σ = 24927162. Its totient is φ = 6289920.

The previous prime is 12814423. The next prime is 12814457. The reversal of 12814425 is 52441821.

12814425 = T75 + T76 + ... + T425.

12814425 = 12 + 22 + ... + 3372.

It can be written as a sum of positive squares in 9 ways, for example, as 9585216 + 3229209 = 3096^2 + 1797^2 .

It is not a de Polignac number, because 12814425 - 21 = 12814423 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12814423) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 37857 + ... + 38193.

Almost surely, 212814425 is an apocalyptic number.

12814425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12814425 is a deficient number, since it is larger than the sum of its proper divisors (12112737).

12814425 is a wasteful number, since it uses less digits than its factorization.

12814425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 358 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 12814425 is about 3579.7241513837. The cubic root of 12814425 is about 234.0092588929.

The spelling of 12814425 in words is "twelve million, eight hundred fourteen thousand, four hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 169 195 225 325 337 507 585 845 975 1011 1521 1685 2535 2925 3033 4225 4381 5055 7605 8425 12675 13143 15165 21905 25275 38025 39429 56953 65715 75825 109525 170859 197145 284765 328575 512577 854295 985725 1423825 2562885 4271475 12814425