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12616352 = 257151373
BaseRepresentation
bin110000001000…
…001010100000
3212201222101022
4300020022200
511212210402
61130225012
7212144240
oct60101240
925658338
1012616352
117137941
124285168
1327c96c8
141965b20
1511932a2
hexc082a0

12616352 has 48 divisors (see below), whose sum is σ = 28651392. Its totient is φ = 5356800.

The previous prime is 12616339. The next prime is 12616427. The reversal of 12616352 is 25361621.

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, 33638 + ... + 34010.

It is an arithmetic number, because the mean of its divisors is an integer number (596904).

Almost surely, 212616352 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 12616352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14325696).

12616352 is an abundant number, since it is smaller than the sum of its proper divisors (16035040).

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

12616352 is a wasteful number, since it uses less digits than its factorization.

12616352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 533 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 12616352 is about 3551.9504501048. The cubic root of 12616352 is about 232.7972964893.

Adding to 12616352 its reverse (25361621), we get a palindrome (37977973).

The spelling of 12616352 in words is "twelve million, six hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 151 224 302 373 604 746 1057 1208 1492 2114 2416 2611 2984 4228 4832 5222 5968 8456 10444 11936 16912 20888 33824 41776 56323 83552 112646 225292 394261 450584 788522 901168 1577044 1802336 3154088 6308176 12616352