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12815152 = 247313691
BaseRepresentation
bin110000111000…
…101100110000
3220010002002021
4300320230300
511240041102
61134401224
7213632650
oct60705460
926102067
1012815152
117263239
124360214
13286903c
1419b8360
1511d2137
hexc38b30

12815152 has 40 divisors (see below), whose sum is σ = 29299712. Its totient is φ = 5313600.

The previous prime is 12815149. The next prime is 12815167. The reversal of 12815152 is 25151821.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1627 + ... + 5317.

Almost surely, 212815152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12815152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14649856).

12815152 is an abundant number, since it is smaller than the sum of its proper divisors (16484560).

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

12815152 is a wasteful number, since it uses less digits than its factorization.

12815152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3737 (or 3731 counting only the distinct ones).

The product of its digits is 800, while the sum is 25.

The square root of 12815152 is about 3579.8256940806. The cubic root of 12815152 is about 234.0136841536.

Adding to 12815152 its reverse (25151821), we get a palindrome (37966973).

The spelling of 12815152 in words is "twelve million, eight hundred fifteen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 3472 3691 7382 14764 25837 29528 51674 59056 103348 114421 206696 228842 413392 457684 800947 915368 1601894 1830736 3203788 6407576 12815152