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12892638 = 2311195343
BaseRepresentation
bin110001001011…
…100111011110
3220021000101010
4301023213132
511300031023
61140200050
7214404603
oct61134736
926230333
1012892638
117306480
124399026
1328953a5
1419d86aa
1511ea093
hexc4b9de

12892638 has 16 divisors (see below), whose sum is σ = 28129536. Its totient is φ = 3906840.

The previous prime is 12892637. The next prime is 12892643. The reversal of 12892638 is 83629821.

It is a happy number.

It is a super-2 number, since 2×128926382 = 332440229198088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12892596 and 12892605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12892637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97606 + ... + 97737.

It is an arithmetic number, because the mean of its divisors is an integer number (1758096).

Almost surely, 212892638 is an apocalyptic number.

12892638 is an abundant number, since it is smaller than the sum of its proper divisors (15236898).

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

12892638 is a wasteful number, since it uses less digits than its factorization.

12892638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195359.

The product of its digits is 41472, while the sum is 39.

The square root of 12892638 is about 3590.6319778000. The cubic root of 12892638 is about 234.4843863442.

It can be divided in two parts, 12892 and 638, that added together give a triangular number (13530 = T164).

The spelling of 12892638 in words is "twelve million, eight hundred ninety-two thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 195343 390686 586029 1172058 2148773 4297546 6446319 12892638