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12495392 = 257213613
BaseRepresentation
bin101111101010…
…101000100000
3212111211110022
4233222220200
511144323032
61123453012
7211131500
oct57525040
925454408
1012495392
117064a78
124227168
132786630
141933a00
15116c512
hexbeaa20

12495392 has 72 divisors (see below), whose sum is σ = 30868236. Its totient is φ = 4935168.

The previous prime is 12495349. The next prime is 12495421. The reversal of 12495392 is 29359421.

It can be written as a sum of positive squares in 2 ways, for example, as 8976016 + 3519376 = 2996^2 + 1876^2 .

It is a super-2 number, since 2×124953922 = 312269642467328, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20078 + ... + 20690.

Almost surely, 212495392 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 12495392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15434118).

12495392 is an abundant number, since it is smaller than the sum of its proper divisors (18372844).

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

12495392 is a wasteful number, since it uses less digits than its factorization.

12495392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 635 counting only the distinct ones).

The product of its digits is 19440, while the sum is 35.

The square root of 12495392 is about 3534.8821762543. The cubic root of 12495392 is about 232.0509202538.

The spelling of 12495392 in words is "twelve million, four hundred ninety-five thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 613 637 728 784 1226 1274 1456 1568 2452 2548 2912 4291 4904 5096 7969 8582 9808 10192 15938 17164 19616 20384 30037 31876 34328 55783 60074 63752 68656 111566 120148 127504 137312 223132 240296 255008 390481 446264 480592 780962 892528 961184 1561924 1785056 3123848 6247696 12495392