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412253960 = 23510306349
BaseRepresentation
bin11000100100100…
…111111100001000
31001201201200010012
4120210213330020
51321014111320
6104524011052
713134046406
oct3044477410
91051650105
10412253960
111a1785558
12b6090a88
1367542071
143ca74476
15262d44c5
hex18927f08

412253960 has 16 divisors (see below), whose sum is σ = 927571500. Its totient is φ = 164901568.

The previous prime is 412253953. The next prime is 412253993. The reversal of 412253960 is 69352214.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 409738564 + 2515396 = 20242^2 + 1586^2 .

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 3 ways as a sum of consecutive naturals, for example, 5153135 + ... + 5153214.

Almost surely, 2412253960 is an apocalyptic number.

412253960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412253960 is an abundant number, since it is smaller than the sum of its proper divisors (515317540).

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

412253960 is a wasteful number, since it uses less digits than its factorization.

412253960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10306360 (or 10306356 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 412253960 is about 20304.0380220290. The cubic root of 412253960 is about 744.2547447309.

The spelling of 412253960 in words is "four hundred twelve million, two hundred fifty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 10306349 20612698 41225396 51531745 82450792 103063490 206126980 412253960