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412133036 = 227294710799
BaseRepresentation
bin11000100100001…
…010011010101100
31001201111112020112
4120210022122230
51321001224121
6104521235152
713133034020
oct3044123254
91051445215
10412133036
111a1702717
12b6032ab8
13674cc003
143ca42380
15262ad75b
hex1890a6ac

412133036 has 48 divisors (see below), whose sum is σ = 870912000. Its totient is φ = 166893888.

The previous prime is 412132993. The next prime is 412133069. The reversal of 412133036 is 630331214.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32765 + ... + 43563.

It is an arithmetic number, because the mean of its divisors is an integer number (18144000).

Almost surely, 2412133036 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 412133036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456000).

412133036 is an abundant number, since it is smaller than the sum of its proper divisors (458778964).

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

412133036 is a wasteful number, since it uses less digits than its factorization.

412133036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10886 (or 10884 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 412133036 is about 20301.0599723266. The cubic root of 412133036 is about 744.1819683435.

The spelling of 412133036 in words is "four hundred twelve million, one hundred thirty-three thousand, thirty-six".

Divisors: 1 2 4 7 14 28 29 47 58 94 116 188 203 329 406 658 812 1316 1363 2726 5452 9541 10799 19082 21598 38164 43196 75593 151186 302372 313171 507553 626342 1015106 1252684 2030212 2192197 3552871 4384394 7105742 8768788 14211484 14719037 29438074 58876148 103033259 206066518 412133036