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12387392 = 261961167
BaseRepresentation
bin101111010000…
…010001000000
3212022100022022
4233100101000
511132344032
61121301012
7210201563
oct57202100
925270268
1012387392
116aa0916
124194768
132749424
1419064da
15114a512
hexbd0440

12387392 has 56 divisors (see below), whose sum is σ = 26456640. Its totient is φ = 5736960.

The previous prime is 12387377. The next prime is 12387433. The reversal of 12387392 is 29378321.

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, 74093 + ... + 74259.

It is an arithmetic number, because the mean of its divisors is an integer number (472440).

Almost surely, 212387392 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 12387392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13228320).

12387392 is an abundant number, since it is smaller than the sum of its proper divisors (14069248).

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

12387392 is a wasteful number, since it uses less digits than its factorization.

12387392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 249 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 12387392 is about 3519.5727013375. The cubic root of 12387392 is about 231.3804317026.

The spelling of 12387392 in words is "twelve million, three hundred eighty-seven thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 19 32 38 61 64 76 122 152 167 244 304 334 488 608 668 976 1159 1216 1336 1952 2318 2672 3173 3904 4636 5344 6346 9272 10187 10688 12692 18544 20374 25384 37088 40748 50768 74176 81496 101536 162992 193553 203072 325984 387106 651968 774212 1548424 3096848 6193696 12387392