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12876288 = 29383101
BaseRepresentation
bin110001000111…
…101000000000
3220020011221120
4301013220000
511244020123
61135552240
7214306125
oct61075000
926204846
1012876288
1172a5167
12438b680
13288ab09
1419d274c
1511e52e3
hexc47a00

12876288 has 80 divisors (see below), whose sum is σ = 35060256. Its totient is φ = 4198400.

The previous prime is 12876287. The next prime is 12876299. The reversal of 12876288 is 88267821.

It is not an unprimeable number, because it can be changed into a prime (12876287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127438 + ... + 127538.

Almost surely, 212876288 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 12876288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17530128).

12876288 is an abundant number, since it is smaller than the sum of its proper divisors (22183968).

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

12876288 is an equidigital number, since it uses as much as digits as its factorization.

12876288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 189 counting only the distinct ones).

The product of its digits is 86016, while the sum is 42.

The square root of 12876288 is about 3588.3544975378. The cubic root of 12876288 is about 234.3852227363.

The spelling of 12876288 in words is "twelve million, eight hundred seventy-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 101 128 166 192 202 249 256 303 332 384 404 498 512 606 664 768 808 996 1212 1328 1536 1616 1992 2424 2656 3232 3984 4848 5312 6464 7968 8383 9696 10624 12928 15936 16766 19392 21248 25149 25856 31872 33532 38784 42496 50298 51712 63744 67064 77568 100596 127488 134128 155136 201192 268256 402384 536512 804768 1073024 1609536 2146048 3219072 4292096 6438144 12876288