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12393828 = 2232344273
BaseRepresentation
bin101111010001…
…110101100100
3212022200010200
4233101311210
511133100303
61121350500
7210226416
oct57216544
925280120
1012393828
116aa5737
124198430
13274c335
1419089b6
15114c3a3
hexbd1d64

12393828 has 18 divisors (see below), whose sum is σ = 31328934. Its totient is φ = 4131264.

The previous prime is 12393791. The next prime is 12393851. The reversal of 12393828 is 82839321.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7518564 + 4875264 = 2742^2 + 2208^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 344273 = 12393828 / (1 + 2 + 3 + 9 + 3 + 8 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 12393792 and 12393801.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 172101 + ... + 172172.

Almost surely, 212393828 is an apocalyptic number.

12393828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12393828 is an abundant number, since it is smaller than the sum of its proper divisors (18935106).

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

12393828 is a wasteful number, since it uses less digits than its factorization.

12393828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344283 (or 344278 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 12393828 is about 3520.4868981435. The cubic root of 12393828 is about 231.4204968115.

The spelling of 12393828 in words is "twelve million, three hundred ninety-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 344273 688546 1032819 1377092 2065638 3098457 4131276 6196914 12393828