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412253442 = 23341792357
BaseRepresentation
bin11000100100100…
…111110100000010
31001201201122102000
4120210213310002
51321014102232
6104524004430
713134045036
oct3044476402
91051648360
10412253442
111a1785127
12b6090716
1367541a63
143ca741c6
15262d427c
hex18927d02

412253442 has 64 divisors (see below), whose sum is σ = 950745600. Its totient is φ = 132312960.

The previous prime is 412253441. The next prime is 412253461. The reversal of 412253442 is 244352214.

412253442 is a `hidden beast` number, since 4 + 122 + 534 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (412253441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173728 + ... + 176084.

It is an arithmetic number, because the mean of its divisors is an integer number (14855400).

Almost surely, 2412253442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412253442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475372800).

412253442 is an abundant number, since it is smaller than the sum of its proper divisors (538492158).

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

412253442 is a wasteful number, since it uses less digits than its factorization.

412253442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2482 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 412253442 is about 20304.0252659417. The cubic root of 412253442 is about 744.2544330103.

The spelling of 412253442 in words is "four hundred twelve million, two hundred fifty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 41 54 79 82 123 158 237 246 369 474 711 738 1107 1422 2133 2214 2357 3239 4266 4714 6478 7071 9717 14142 19434 21213 29151 42426 58302 63639 87453 96637 127278 174906 186203 193274 289911 372406 558609 579822 869733 1117218 1675827 1739466 2609199 3351654 5027481 5218398 7634323 10054962 15268646 22902969 45805938 68708907 137417814 206126721 412253442