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12492384 = 253373517
BaseRepresentation
bin101111101001…
…111001100000
3212111200022220
4233221321200
511144224014
61123431040
7211116642
oct57517140
925450286
1012492384
117062793
124225480
132785158
141932892
15116b6a9
hexbe9e60

12492384 has 48 divisors (see below), whose sum is σ = 33688368. Its totient is φ = 4050432.

The previous prime is 12492383. The next prime is 12492391. The reversal of 12492384 is 48329421.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12492383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1794 + ... + 5310.

It is an arithmetic number, because the mean of its divisors is an integer number (701841).

Almost surely, 212492384 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 12492384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16844184).

12492384 is an abundant number, since it is smaller than the sum of its proper divisors (21195984).

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

12492384 is a wasteful number, since it uses less digits than its factorization.

12492384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567 (or 3559 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 12492384 is about 3534.4566767751. The cubic root of 12492384 is about 232.0322983174.

The spelling of 12492384 in words is "twelve million, four hundred ninety-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3517 3552 7034 10551 14068 21102 28136 42204 56272 84408 112544 130129 168816 260258 337632 390387 520516 780774 1041032 1561548 2082064 3123096 4164128 6246192 12492384