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12490452 = 22321322053
BaseRepresentation
bin101111101001…
…011011010100
3212111120200100
4233221123110
511144143302
61123414100
7211111212
oct57513324
925446610
1012490452
117061297
124224330
132784300
141931cb2
15116ad1c
hexbe96d4

12490452 has 54 divisors (see below), whose sum is σ = 34205262. Its totient is φ = 3841344.

The previous prime is 12490447. The next prime is 12490459. The reversal of 12490452 is 25409421.

12490452 is a `hidden beast` number, since 124 + 90 + 452 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1296 + 12489156 = 36^2 + 3534^2 .

It is a super-2 number, since 2×124904522 = 312022782328608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12490459) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5058 + ... + 7110.

Almost surely, 212490452 is an apocalyptic number.

12490452 is a gapful number since it is divisible by the number (12) 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 12490452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17102631).

12490452 is an abundant number, since it is smaller than the sum of its proper divisors (21714810).

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

12490452 is a wasteful number, since it uses less digits than its factorization.

12490452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 12490452 is about 3534.1833568733. The cubic root of 12490452 is about 232.0203361088.

Adding to 12490452 its reverse (25409421), we get a palindrome (37899873).

The spelling of 12490452 in words is "twelve million, four hundred ninety thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 2053 3042 4106 6084 6159 8212 12318 18477 24636 26689 36954 53378 73908 80067 106756 160134 240201 320268 346957 480402 693914 960804 1040871 1387828 2081742 3122613 4163484 6245226 12490452