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12948816 = 2432337317
BaseRepresentation
bin110001011001…
…010101010000
3220100212102210
4301121111100
511303330231
61141312120
7215030436
oct61312520
926325383
1012948816
117344701
124405640
1328b4b2a
141a10d56
15120ba46
hexc59550

12948816 has 80 divisors (see below), whose sum is σ = 35961984. Its totient is φ = 4004352.

The previous prime is 12948809. The next prime is 12948827. The reversal of 12948816 is 61884921.

It is a congruent number.

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, 40690 + ... + 41006.

Almost surely, 212948816 is an apocalyptic number.

12948816 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 12948816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17980992).

12948816 is an abundant number, since it is smaller than the sum of its proper divisors (23013168).

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

12948816 is a wasteful number, since it uses less digits than its factorization.

12948816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 382 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 12948816 is about 3598.4463314047. The cubic root of 12948816 is about 234.8244713091.

The spelling of 12948816 in words is "twelve million, nine hundred forty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 37 46 48 69 74 92 111 138 148 184 222 276 296 317 368 444 552 592 634 851 888 951 1104 1268 1702 1776 1902 2536 2553 3404 3804 5072 5106 6808 7291 7608 10212 11729 13616 14582 15216 20424 21873 23458 29164 35187 40848 43746 46916 58328 70374 87492 93832 116656 140748 174984 187664 269767 281496 349968 539534 562992 809301 1079068 1618602 2158136 3237204 4316272 6474408 12948816