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12638276 = 2272173793
BaseRepresentation
bin110000001101…
…100001000100
3212210002110022
4300031201010
511213411101
61130514312
7212265200
oct60154104
925702408
1012638276
117152362
124295998
132806691
14196db00
151199a1b
hexc0d844

12638276 has 36 divisors (see below), whose sum is σ = 27248508. Its totient is φ = 5096448.

The previous prime is 12638273. The next prime is 12638309. The reversal of 12638276 is 67283621.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6002500 + 6635776 = 2450^2 + 2576^2 .

It is not an unprimeable number, because it can be changed into a prime (12638273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1436 + ... + 5228.

It is an arithmetic number, because the mean of its divisors is an integer number (756903).

Almost surely, 212638276 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 12638276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13624254).

12638276 is an abundant number, since it is smaller than the sum of its proper divisors (14610232).

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

12638276 is a wasteful number, since it uses less digits than its factorization.

12638276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828 (or 3819 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 12638276 is about 3555.0353022157. The cubic root of 12638276 is about 232.9320658844.

The spelling of 12638276 in words is "twelve million, six hundred thirty-eight thousand, two hundred seventy-six".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 1666 3332 3793 7586 15172 26551 53102 64481 106204 128962 185857 257924 371714 451367 743428 902734 1805468 3159569 6319138 12638276