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413447112 = 2333131131303
BaseRepresentation
bin11000101001001…
…011001111001000
31001210222021211000
4120221023033020
51321320301422
6105005335000
713150146111
oct3051131710
91053867730
10413447112
111a241aa31
12b6567460
136786c180
143cca5208
152646ccac
hex18a4b3c8

413447112 has 128 divisors (see below), whose sum is σ = 1248710400. Its totient is φ = 125991936.

The previous prime is 413447101. The next prime is 413447119. The reversal of 413447112 is 211744314.

It is a super-2 number, since 2×4134471122 = 341877028842281088, which contains 22 as substring.

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 (413447119) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 316653 + ... + 317955.

It is an arithmetic number, because the mean of its divisors is an integer number (9755550).

Almost surely, 2413447112 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 413447112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624355200).

413447112 is an abundant number, since it is smaller than the sum of its proper divisors (835263288).

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

413447112 is a wasteful number, since it uses less digits than its factorization.

413447112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1434 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 413447112 is about 20333.3989288559. The cubic root of 413447112 is about 744.9720644751.

The spelling of 413447112 in words is "four hundred thirteen million, four hundred forty-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 113 117 156 216 226 234 312 339 351 452 468 678 702 904 936 1017 1303 1356 1404 1469 2034 2606 2712 2808 2938 3051 3909 4068 4407 5212 5876 6102 7818 8136 8814 10424 11727 11752 12204 13221 15636 16939 17628 23454 24408 26442 31272 33878 35181 35256 39663 46908 50817 52884 67756 70362 79326 93816 101634 105768 135512 140724 147239 152451 158652 203268 281448 294478 304902 317304 406536 441717 457353 588956 609804 883434 914706 1177912 1219608 1325151 1766868 1829412 1914107 2650302 3533736 3658824 3828214 3975453 5300604 5742321 7656428 7950906 10601208 11484642 15312856 15901812 17226963 22969284 31803624 34453926 45938568 51680889 68907852 103361778 137815704 206723556 413447112