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12909408 = 253294637
BaseRepresentation
bin110001001111…
…101101100000
3220021212101020
4301033231200
511301100113
61140405440
7214504521
oct61175540
926255336
1012909408
117318036
1243a6880
13289cc05
141a00848
151200023
hexc4fb60

12909408 has 48 divisors (see below), whose sum is σ = 35063280. Its totient is φ = 4153856.

The previous prime is 12909397. The next prime is 12909427. The reversal of 12909408 is 80490921.

12909408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 466 + ... + 5102.

It is an arithmetic number, because the mean of its divisors is an integer number (730485).

Almost surely, 212909408 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 12909408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17531640).

12909408 is an abundant number, since it is smaller than the sum of its proper divisors (22153872).

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

12909408 is a wasteful number, since it uses less digits than its factorization.

12909408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4679 (or 4671 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 12909408 is about 3592.9664624096. The cubic root of 12909408 is about 234.5860102172.

The spelling of 12909408 in words is "twelve million, nine hundred nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 4637 9274 13911 18548 27822 37096 55644 74192 111288 134473 148384 222576 268946 403419 445152 537892 806838 1075784 1613676 2151568 3227352 4303136 6454704 12909408