Search a number
-
+
412925216 = 25114327281
BaseRepresentation
bin11000100111001…
…011110100100000
31001202222202220112
4120213023310200
51321202101331
6104550230452
713142543414
oct3047136440
91052882815
10412925216
111a20a3910
12b6355428
1367718762
143cbaad44
15263b832b
hex189cbd20

412925216 has 48 divisors (see below), whose sum is σ = 907508448. Its totient is φ = 183321600.

The previous prime is 412925209. The next prime is 412925263. The reversal of 412925216 is 612529214.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between even and odd.

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 7 ways as a sum of consecutive naturals, for example, 1496 + ... + 28776.

It is an arithmetic number, because the mean of its divisors is an integer number (18906426).

Almost surely, 2412925216 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 412925216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453754224).

412925216 is an abundant number, since it is smaller than the sum of its proper divisors (494583232).

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

412925216 is a wasteful number, since it uses less digits than its factorization.

412925216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27345 (or 27337 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

The square root of 412925216 is about 20320.5614095674. The cubic root of 412925216 is about 744.6584720487.

The spelling of 412925216 in words is "four hundred twelve million, nine hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 172 176 344 352 473 688 946 1376 1892 3784 7568 15136 27281 54562 109124 218248 300091 436496 600182 872992 1173083 1200364 2346166 2400728 4692332 4801456 9384664 9602912 12903913 18769328 25807826 37538656 51615652 103231304 206462608 412925216