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12493376 = 26779353
BaseRepresentation
bin101111101010…
…001001000000
3212111201200122
4233222021000
511144242001
61123435412
7211122560
oct57521100
925451618
1012493376
117063505
124225b68
13278573c
141932da0
15116bb1b
hexbea240

12493376 has 56 divisors (see below), whose sum is σ = 28773120. Its totient is φ = 5271552.

The previous prime is 12493367. The next prime is 12493379. The reversal of 12493376 is 67339421.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (12493379) 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, 35216 + ... + 35568.

Almost surely, 212493376 is an apocalyptic number.

12493376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12493376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14386560).

12493376 is an abundant number, since it is smaller than the sum of its proper divisors (16279744).

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

12493376 is an equidigital number, since it uses as much as digits as its factorization.

12493376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 441 counting only the distinct ones).

The product of its digits is 27216, while the sum is 35.

The square root of 12493376 is about 3534.5970067322. The cubic root of 12493376 is about 232.0384399247.

The spelling of 12493376 in words is "twelve million, four hundred ninety-three thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 158 224 316 353 448 553 632 706 1106 1264 1412 2212 2471 2528 2824 4424 4942 5056 5648 8848 9884 11296 17696 19768 22592 27887 35392 39536 55774 79072 111548 158144 195209 223096 390418 446192 780836 892384 1561672 1784768 3123344 6246688 12493376