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12808992 = 25373389
BaseRepresentation
bin110000110111…
…001100100000
3220002202122010
4300313030200
511234341432
61134312520
7213606000
oct60671440
926082563
1012808992
117259649
124358740
1328662b1
1419b6000
1511d03cc
hexc37320

12808992 has 96 divisors (see below), whose sum is σ = 39312000. Its totient is φ = 3650304.

The previous prime is 12808979. The next prime is 12808997. The reversal of 12808992 is 29980821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 12808992.

It is not an unprimeable number, because it can be changed into a prime (12808997) 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, 32734 + ... + 33122.

It is an arithmetic number, because the mean of its divisors is an integer number (409500).

Almost surely, 212808992 is an apocalyptic number.

12808992 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 12808992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656000).

12808992 is an abundant number, since it is smaller than the sum of its proper divisors (26503008).

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

12808992 is an equidigital number, since it uses as much as digits as its factorization.

12808992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 12808992 is about 3578.9652135778. The cubic root of 12808992 is about 233.9761828341.

The spelling of 12808992 in words is "twelve million, eight hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 389 392 588 672 686 778 784 1029 1167 1176 1372 1556 1568 2058 2334 2352 2723 2744 3112 4116 4668 4704 5446 5488 6224 8169 8232 9336 10892 10976 12448 16338 16464 18672 19061 21784 32676 32928 37344 38122 43568 57183 65352 76244 87136 114366 130704 133427 152488 228732 261408 266854 304976 400281 457464 533708 609952 800562 914928 1067416 1601124 1829856 2134832 3202248 4269664 6404496 12808992