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399313512 = 2332131812357
BaseRepresentation
bin10111110011010…
…000101001101000
31000211101020011100
4113303100221220
51304211013022
6103342401400
712616052223
oct2763205150
91024336140
10399313512
11195447174
12b1890260
1364960cb0
143b0665ba
15250ca1ac
hex17cd0a68

399313512 has 96 divisors (see below), whose sum is σ = 1171595880. Its totient is φ = 122135040.

The previous prime is 399313507. The next prime is 399313513. The reversal of 399313512 is 215313993.

It can be written as a sum of positive squares in 4 ways, for example, as 81974916 + 317338596 = 9054^2 + 17814^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (399313513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168238 + ... + 170594.

Almost surely, 2399313512 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 399313512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585797940).

399313512 is an abundant number, since it is smaller than the sum of its proper divisors (772282368).

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

399313512 is a wasteful number, since it uses less digits than its factorization.

399313512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563 (or 2556 counting only the distinct ones).

The product of its digits is 21870, while the sum is 36.

The square root of 399313512 is about 19982.8304301468. The cubic root of 399313512 is about 736.3845511289.

The spelling of 399313512 in words is "three hundred ninety-nine million, three hundred thirteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 181 234 312 362 468 543 724 936 1086 1448 1629 2172 2353 2357 3258 4344 4706 4714 6516 7059 7071 9412 9428 13032 14118 14142 18824 18856 21177 21213 28236 28284 30641 42354 42426 56472 56568 61282 84708 84852 91923 122564 169416 169704 183846 245128 275769 367692 426617 551538 735384 853234 1103076 1279851 1706468 2206152 2559702 3412936 3839553 5119404 5546021 7679106 10238808 11092042 15358212 16638063 22184084 30716424 33276126 44368168 49914189 66552252 99828378 133104504 199656756 399313512