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12875408 = 2471337239
BaseRepresentation
bin110001000111…
…011010010000
3220020010201222
4301013122100
511244003113
61135544212
7214303430
oct61073220
926203658
1012875408
1172a4537
12438b068
13288a5b0
1419d22c0
1511e4e08
hexc47690

12875408 has 80 divisors (see below), whose sum is σ = 31664640. Its totient is φ = 4935168.

The previous prime is 12875399. The next prime is 12875411. The reversal of 12875408 is 80457821.

It is a super-2 number, since 2×128754082 = 331552262332928, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53753 + ... + 53991.

It is an arithmetic number, because the mean of its divisors is an integer number (395808).

Almost surely, 212875408 is an apocalyptic number.

12875408 is the 2072-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12875408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15832320).

12875408 is an abundant number, since it is smaller than the sum of its proper divisors (18789232).

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

12875408 is a wasteful number, since it uses less digits than its factorization.

12875408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 12875408 is about 3588.2318765654. The cubic root of 12875408 is about 234.3798831101.

The spelling of 12875408 in words is "twelve million, eight hundred seventy-five thousand, four hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 37 52 56 74 91 104 112 148 182 208 239 259 296 364 478 481 518 592 728 956 962 1036 1456 1673 1912 1924 2072 3107 3346 3367 3824 3848 4144 6214 6692 6734 7696 8843 12428 13384 13468 17686 21749 24856 26768 26936 35372 43498 49712 53872 61901 70744 86996 114959 123802 141488 173992 229918 247604 347984 459836 495208 804713 919672 990416 1609426 1839344 3218852 6437704 12875408