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12685248 = 26342447
BaseRepresentation
bin110000011000…
…111111000000
3212212110220000
4300120333000
511221411443
61131520000
7212552142
oct60307700
925773800
1012685248
117184684
1242b9000
132821b84
141982c92
1511a88d3
hexc18fc0

12685248 has 70 divisors (see below), whose sum is σ = 37618416. Its totient is φ = 4226688.

The previous prime is 12685229. The next prime is 12685249. The reversal of 12685248 is 84258621.

12685248 is a `hidden beast` number, since 126 + 8 + 524 + 8 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12685249) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3961 + ... + 6407.

Almost surely, 212685248 is an apocalyptic number.

12685248 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 12685248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18809208).

12685248 is an abundant number, since it is smaller than the sum of its proper divisors (24933168).

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

12685248 is an equidigital number, since it uses as much as digits as its factorization.

12685248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471 (or 2452 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 12685248 is about 3561.6355793371. The cubic root of 12685248 is about 233.2202844662.

The spelling of 12685248 in words is "twelve million, six hundred eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2447 2592 4894 5184 7341 9788 14682 19576 22023 29364 39152 44046 58728 66069 78304 88092 117456 132138 156608 176184 198207 234912 264276 352368 396414 469824 528552 704736 792828 1057104 1409472 1585656 2114208 3171312 4228416 6342624 12685248