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12851616 = 253592269
BaseRepresentation
bin110001000001…
…100110100000
3220011221002210
4301001212200
511242222431
61135242120
7214144161
oct61014640
926157083
1012851616
117288678
124379340
13287c80b
1419c7768
1511dcd46
hexc419a0

12851616 has 48 divisors (see below), whose sum is σ = 34322400. Its totient is φ = 4209408.

The previous prime is 12851593. The next prime is 12851621. The reversal of 12851616 is 61615821.

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

It is a super-2 number, since 2×128516162 = 330328067622912, which contains 22 as substring.

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, 4530 + ... + 6798.

It is an arithmetic number, because the mean of its divisors is an integer number (715050).

Almost surely, 212851616 is an apocalyptic number.

12851616 is a gapful number since it is divisible by the number (16) 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 12851616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17161200).

12851616 is an abundant number, since it is smaller than the sum of its proper divisors (21470784).

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

12851616 is a wasteful number, since it uses less digits than its factorization.

12851616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2333 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 12851616 is about 3584.9150617553. The cubic root of 12851616 is about 234.2354267300.

The spelling of 12851616 in words is "twelve million, eight hundred fifty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2269 2832 4538 5664 6807 9076 13614 18152 27228 36304 54456 72608 108912 133871 217824 267742 401613 535484 803226 1070968 1606452 2141936 3212904 4283872 6425808 12851616