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12493992 = 2337312399
BaseRepresentation
bin101111101010…
…010010101000
3212111202112110
4233222102220
511144301432
61123442320
7211124430
oct57522250
925452473
1012493992
117063a15
1242263a0
132785ac4
1419332c0
15116bdcc
hexbea4a8

12493992 has 64 divisors (see below), whose sum is σ = 36864000. Its totient is φ = 3453120.

The previous prime is 12493973. The next prime is 12493993. The reversal of 12493992 is 29939421.

12493992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12493992.

It is not an unprimeable number, because it can be changed into a prime (12493993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4009 + ... + 6407.

It is an arithmetic number, because the mean of its divisors is an integer number (576000).

Almost surely, 212493992 is an apocalyptic number.

12493992 is a gapful number since it is divisible by the number (12) 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 12493992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18432000).

12493992 is an abundant number, since it is smaller than the sum of its proper divisors (24370008).

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

12493992 is a wasteful number, since it uses less digits than its factorization.

12493992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446 (or 2442 counting only the distinct ones).

The product of its digits is 34992, while the sum is 39.

The square root of 12493992 is about 3534.6841443048. The cubic root of 12493992 is about 232.0422535010.

The spelling of 12493992 in words is "twelve million, four hundred ninety-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2399 2604 4798 5208 7197 9596 14394 16793 19192 28788 33586 50379 57576 67172 74369 100758 134344 148738 201516 223107 297476 403032 446214 520583 594952 892428 1041166 1561749 1784856 2082332 3123498 4164664 6246996 12493992