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402144831 = 361124797
BaseRepresentation
bin10111111110000…
…011111000111111
31001000201002000000
4113332003320333
51310422113311
6103523205343
712652113624
oct2776037077
91030632000
10402144831
11197000400
12b2816853
136541292a
143b5a234b
1525489056
hex17f83e3f

402144831 has 84 divisors (see below), whose sum is σ = 683815776. Its totient is φ = 236079360.

The previous prime is 402144817. The next prime is 402144833. The reversal of 402144831 is 138441204.

It is not a de Polignac number, because 402144831 - 27 = 402144703 is a prime.

It is a super-2 number, since 2×4021448312 = 323440930200037122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 402144795 and 402144804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402144833) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4145775 + ... + 4145871.

It is an arithmetic number, because the mean of its divisors is an integer number (8140664).

Almost surely, 2402144831 is an apocalyptic number.

402144831 is a deficient number, since it is larger than the sum of its proper divisors (281670945).

402144831 is an equidigital number, since it uses as much as digits as its factorization.

402144831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 402144831 is about 20053.5490873810. The cubic root of 402144831 is about 738.1208903686.

The spelling of 402144831 in words is "four hundred two million, one hundred forty-four thousand, eight hundred thirty-one".

Divisors: 1 3 9 11 27 33 47 81 97 99 121 141 243 291 297 363 423 517 729 873 891 1067 1089 1269 1551 2619 2673 3201 3267 3807 4559 4653 5687 7857 8019 9603 9801 11421 11737 13677 13959 17061 23571 28809 29403 34263 35211 41031 41877 50149 51183 70713 86427 88209 105633 123093 125631 150447 153549 259281 316899 369279 376893 451341 460647 551639 777843 950697 1107837 1354023 1381941 1654917 2852091 3323511 4062069 4145823 4964751 8556273 12186207 14894253 36558621 44682759 134048277 402144831