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263431242 = 23231297157
BaseRepresentation
bin11111011001110…
…10010001001010
3200100200200201200
433230322101022
51014414244432
642050125030
76346062054
oct1754722112
9610620650
10263431242
11125777878
1274280776
1342765c99
1426db48d4
15181d8a7c
hexfb3a44a

263431242 has 72 divisors (see below), whose sum is σ = 599648868. Its totient is φ = 83566080.

The previous prime is 263431237. The next prime is 263431243. The reversal of 263431242 is 242134362.

263431242 is a `hidden beast` number, since 2 + 634 + 3 + 1 + 24 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 258855921 + 4575321 = 16089^2 + 2139^2 .

It is not an unprimeable number, because it can be changed into a prime (263431243) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1677828 + ... + 1677984.

Almost surely, 2263431242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263431242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299824434).

263431242 is an abundant number, since it is smaller than the sum of its proper divisors (336217626).

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

263431242 is a wasteful number, since it uses less digits than its factorization.

263431242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 290 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 263431242 is about 16230.5650548587. The cubic root of 263431242 is about 641.0458502237.

The spelling of 263431242 in words is "two hundred sixty-three million, four hundred thirty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 97 157 186 194 279 291 314 471 558 582 873 942 961 1413 1746 1922 2826 2883 3007 4867 5766 6014 8649 9021 9734 14601 15229 17298 18042 27063 29202 30458 43803 45687 54126 87606 91374 93217 137061 150877 186434 274122 279651 301754 452631 472099 559302 838953 905262 944198 1357893 1416297 1677906 2715786 2832594 4248891 8497782 14635069 29270138 43905207 87810414 131715621 263431242