Search a number
-
+
263983038 = 231121773293
BaseRepresentation
bin11111011110000…
…00111110111110
3200101201201122120
433233000332332
51020034424123
642110023410
76353550564
oct1757007676
9611651576
10263983038
11126014400
12744a7b66
13428ca1a7
14270b9a34
15182972e3
hexfbc0fbe

263983038 has 96 divisors (see below), whose sum is σ = 625006368. Its totient is φ = 74004480.

The previous prime is 263983009. The next prime is 263983043. The reversal of 263983038 is 830389362.

263983038 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 900820 + ... + 901112.

It is an arithmetic number, because the mean of its divisors is an integer number (6510483).

Almost surely, 2263983038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263983038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312503184).

263983038 is an abundant number, since it is smaller than the sum of its proper divisors (361023330).

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

263983038 is a wasteful number, since it uses less digits than its factorization.

263983038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 263983038 is about 16247.5548314200. The cubic root of 263983038 is about 641.4931267662.

The spelling of 263983038 in words is "two hundred sixty-three million, nine hundred eighty-three thousand, thirty-eight".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 73 102 121 146 187 219 242 293 363 374 438 561 586 726 803 879 1122 1241 1606 1758 2057 2409 2482 3223 3723 4114 4818 4981 6171 6446 7446 8833 9669 9962 12342 13651 14943 17666 19338 21389 26499 27302 29886 35453 40953 42778 52998 54791 64167 70906 81906 106359 109582 128334 150161 164373 212718 235279 300322 328746 363613 450483 470558 602701 705837 727226 900966 1090839 1205402 1411674 1808103 2181678 2588069 3616206 3999743 5176138 7764207 7999486 11999229 15528414 23998458 43997173 87994346 131991519 263983038