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12252592 = 2411431619
BaseRepresentation
bin101110101111…
…010110110000
3212001111101201
4232233112300
511114040332
61114340544
7206100562
oct56572660
925044351
1012252592
116a09610
12412a754
1326ccc71
1418ad332
1511205e7
hexbaf5b0

12252592 has 40 divisors (see below), whose sum is σ = 26516160. Its totient is φ = 5436480.

The previous prime is 12252551. The next prime is 12252599. The reversal of 12252592 is 29525221.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12252592.

It is not an unprimeable number, because it can be changed into a prime (12252599) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6759 + ... + 8377.

It is an arithmetic number, because the mean of its divisors is an integer number (662904).

Almost surely, 212252592 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 12252592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13258080).

12252592 is an abundant number, since it is smaller than the sum of its proper divisors (14263568).

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

12252592 is a wasteful number, since it uses less digits than its factorization.

12252592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1675 counting only the distinct ones).

The product of its digits is 3600, while the sum is 28.

The square root of 12252592 is about 3500.3702661290. The cubic root of 12252592 is about 230.5380723010.

The spelling of 12252592 in words is "twelve million, two hundred fifty-two thousand, five hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 344 473 688 946 1619 1892 3238 3784 6476 7568 12952 17809 25904 35618 69617 71236 139234 142472 278468 284944 556936 765787 1113872 1531574 3063148 6126296 12252592