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412252104 = 2331110115461
BaseRepresentation
bin11000100100100…
…111011111001000
31001201201120120110
4120210213133020
51321014031404
6104523554320
713134041115
oct3044473710
91051646513
10412252104
111a1784120
12b608b9a0
1367541274
143ca7390c
15262d3b89
hex189277c8

412252104 has 64 divisors (see below), whose sum is σ = 1135529280. Its totient is φ = 123680000.

The previous prime is 412252103. The next prime is 412252117. The reversal of 412252104 is 401252214.

It is not an unprimeable number, because it can be changed into a prime (412252103) 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, 18934 + ... + 34394.

It is an arithmetic number, because the mean of its divisors is an integer number (17742645).

Almost surely, 2412252104 is an apocalyptic number.

412252104 is a gapful number since it is divisible by the number (44) 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 412252104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567764640).

412252104 is an abundant number, since it is smaller than the sum of its proper divisors (723277176).

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

412252104 is a wasteful number, since it uses less digits than its factorization.

412252104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15582 (or 15578 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 412252104 is about 20303.9923167834. The cubic root of 412252104 is about 744.2536278313.

The spelling of 412252104 in words is "four hundred twelve million, two hundred fifty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 404 606 808 1111 1212 2222 2424 3333 4444 6666 8888 13332 15461 26664 30922 46383 61844 92766 123688 170071 185532 340142 371064 510213 680284 1020426 1360568 1561561 2040852 3123122 4081704 4684683 6246244 9369366 12492488 17177171 18738732 34354342 37477464 51531513 68708684 103063026 137417368 206126052 412252104