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13625768 = 2313373541
BaseRepresentation
bin110011111110…
…100110101000
3221122021001002
4303332212220
511442011033
61204014132
7223550162
oct63764650
927567032
1013625768
117767272
124691348
132a90cb0
141b49932
1512e23e8
hexcfe9a8

13625768 has 32 divisors (see below), whose sum is σ = 28265160. Its totient is φ = 6117120.

The previous prime is 13625743. The next prime is 13625779. The reversal of 13625768 is 86752631.

It can be written as a sum of positive squares in 4 ways, for example, as 11546404 + 2079364 = 3398^2 + 1442^2 .

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, 2078 + ... + 5618.

Almost surely, 213625768 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 13625768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14132580).

13625768 is an abundant number, since it is smaller than the sum of its proper divisors (14639392).

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

13625768 is a wasteful number, since it uses less digits than its factorization.

13625768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597 (or 3593 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 13625768 is about 3691.3097946393. The cubic root of 13625768 is about 238.8472965828.

The spelling of 13625768 in words is "thirteen million, six hundred twenty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 481 962 1924 3541 3848 7082 14164 28328 46033 92066 131017 184132 262034 368264 524068 1048136 1703221 3406442 6812884 13625768