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12509808 = 243793299
BaseRepresentation
bin101111101110…
…001001110000
3212112120020020
4233232021300
511200303213
61124043440
7211221513
oct57561160
925476206
1012509808
117074893
124233580
13279006c
141938d7a
151171923
hexbee270

12509808 has 40 divisors (see below), whose sum is σ = 32736000. Its totient is φ = 4115904.

The previous prime is 12509779. The next prime is 12509813. The reversal of 12509808 is 80890521.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2143 + ... + 5441.

It is an arithmetic number, because the mean of its divisors is an integer number (818400).

Almost surely, 212509808 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 12509808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16368000).

12509808 is an abundant number, since it is smaller than the sum of its proper divisors (20226192).

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

12509808 is a wasteful number, since it uses less digits than its factorization.

12509808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 12509808 is about 3536.9206946156. The cubic root of 12509808 is about 232.1401254161.

The spelling of 12509808 in words is "twelve million, five hundred nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 948 1264 1896 3299 3792 6598 9897 13196 19794 26392 39588 52784 79176 158352 260621 521242 781863 1042484 1563726 2084968 3127452 4169936 6254904 12509808