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12874248 = 2333193137
BaseRepresentation
bin110001000111…
…001000001000
3220020002011000
4301013020020
511243433443
61135535000
7214300152
oct61071010
926202130
1012874248
1172a3682
12438a460
132889bca
1419d1ad2
1511e48d3
hexc47208

12874248 has 64 divisors (see below), whose sum is σ = 37656000. Its totient is φ = 4064256.

The previous prime is 12874247. The next prime is 12874259. The reversal of 12874248 is 84247821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12874247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2536 + ... + 5672.

It is an arithmetic number, because the mean of its divisors is an integer number (588375).

Almost surely, 212874248 is an apocalyptic number.

12874248 is a gapful number since it is divisible by the number (18) 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 12874248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18828000).

12874248 is an abundant number, since it is smaller than the sum of its proper divisors (24781752).

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

12874248 is a wasteful number, since it uses less digits than its factorization.

12874248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3171 (or 3161 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 12874248 is about 3588.0702334263. The cubic root of 12874248 is about 234.3728441402.

The spelling of 12874248 in words is "twelve million, eight hundred seventy-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 3137 4104 6274 9411 12548 18822 25096 28233 37644 56466 59603 75288 84699 112932 119206 169398 178809 225864 238412 338796 357618 476824 536427 677592 715236 1072854 1430472 1609281 2145708 3218562 4291416 6437124 12874248