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12252828 = 2237199733
BaseRepresentation
bin101110101111…
…011010011100
3212001111201110
4232233122130
511114042303
61114342020
7206101350
oct56573234
925044643
1012252828
116a09805
12412a910
1327000c3
1418ad460
151120703
hexbaf69c

12252828 has 48 divisors (see below), whose sum is σ = 32883200. Its totient is φ = 3478464.

The previous prime is 12252827. The next prime is 12252847. The reversal of 12252828 is 82825221.

It is a junction number, because it is equal to n+sod(n) for n = 12252795 and 12252804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12252827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16350 + ... + 17082.

Almost surely, 212252828 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 12252828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16441600).

12252828 is an abundant number, since it is smaller than the sum of its proper divisors (20630372).

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

12252828 is a wasteful number, since it uses less digits than its factorization.

12252828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 944 counting only the distinct ones).

The product of its digits is 5120, while the sum is 30.

The square root of 12252828 is about 3500.4039766861. The cubic root of 12252828 is about 230.5395524405.

The spelling of 12252828 in words is "twelve million, two hundred fifty-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 199 398 597 733 796 1194 1393 1466 2199 2388 2786 2932 4179 4398 5131 5572 8358 8796 10262 15393 16716 20524 30786 61572 145867 291734 437601 583468 875202 1021069 1750404 2042138 3063207 4084276 6126414 12252828