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399049092 = 223413175573
BaseRepresentation
bin10111110010010…
…000000110000100
31000210212210110000
4113302100012010
51304124032332
6103333001300
712613601301
oct2762200604
91023783400
10399049092
11195286542
12b1783230
136489a830
143add80a8
1525076b7c
hex17c90184

399049092 has 120 divisors (see below), whose sum is σ = 1189736856. Its totient is φ = 115540992.

The previous prime is 399049061. The next prime is 399049093. The reversal of 399049092 is 290940993.

It can be written as a sum of positive squares in 4 ways, for example, as 1285956 + 397763136 = 1134^2 + 19944^2 .

It is not an unprimeable number, because it can be changed into a prime (399049093) 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 39 ways as a sum of consecutive naturals, for example, 68818 + ... + 74390.

Almost surely, 2399049092 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 399049092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594868428).

399049092 is an abundant number, since it is smaller than the sum of its proper divisors (790687764).

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

399049092 is a wasteful number, since it uses less digits than its factorization.

399049092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5619 (or 5608 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 399049092 is about 19976.2131546497. The cubic root of 399049092 is about 736.2219739457.

The spelling of 399049092 in words is "three hundred ninety-nine million, forty-nine thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 81 102 108 117 153 156 162 204 221 234 306 324 351 442 459 468 612 663 702 884 918 1053 1326 1377 1404 1836 1989 2106 2652 2754 3978 4212 5508 5573 5967 7956 11146 11934 16719 17901 22292 23868 33438 35802 50157 66876 71604 72449 94741 100314 144898 150471 189482 200628 217347 284223 289796 300942 378964 434694 451413 568446 601884 652041 852669 869388 902826 1136892 1231633 1304082 1705338 1805652 1956123 2463266 2558007 2608164 3410676 3694899 3912246 4926532 5116014 5868369 7389798 7674021 7824492 10232028 11084697 11736738 14779596 15348042 22169394 23473476 30696084 33254091 44338788 66508182 99762273 133016364 199524546 399049092