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413165256 = 23372409859
BaseRepresentation
bin11000101000000…
…110011011001000
31001210102222011220
4120220012123020
51321232242011
6104555322040
713144563300
oct3050063310
91053388156
10413165256
111a2248199
12b6450320
13677a0aaa
143cc30600
1526414506
hex18a066c8

413165256 has 96 divisors (see below), whose sum is σ = 1205892000. Its totient is φ = 117621504.

The previous prime is 413165251. The next prime is 413165281. The reversal of 413165256 is 652561314.

It is not an unprimeable number, because it can be changed into a prime (413165251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480555 + ... + 481413.

It is an arithmetic number, because the mean of its divisors is an integer number (12561375).

Almost surely, 2413165256 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 413165256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602946000).

413165256 is an abundant number, since it is smaller than the sum of its proper divisors (792726744).

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

413165256 is a wasteful number, since it uses less digits than its factorization.

413165256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1280 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 413165256 is about 20326.4668843358. The cubic root of 413165256 is about 744.8027380381.

The spelling of 413165256 in words is "four hundred thirteen million, one hundred sixty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 409 588 818 859 1176 1227 1636 1718 2454 2577 2863 3272 3436 4908 5154 5726 6013 6872 8589 9816 10308 11452 12026 17178 18039 20041 20616 22904 24052 34356 36078 40082 42091 48104 60123 68712 72156 80164 84182 120246 126273 144312 160328 168364 240492 252546 336728 351331 480984 505092 702662 1010184 1053993 1405324 2107986 2459317 2810648 4215972 4918634 7377951 8431944 9837268 14755902 17215219 19674536 29511804 34430438 51645657 59023608 68860876 103291314 137721752 206582628 413165256