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263283076 = 2272192612
BaseRepresentation
bin11111011000101…
…10000110000100
3200100102011111001
433230112012010
51014400024301
642043023044
76344604100
oct1754260604
9610364431
10263283076
11125686521
127420aa84
1342713704
1426d76900
15181a9c01
hexfb16184

263283076 has 81 divisors (see below), whose sum is σ = 575087877. Its totient is φ = 105144480.

The previous prime is 263283071. The next prime is 263283077. The reversal of 263283076 is 670382362.

The square root of 263283076 is 16226.

It is a perfect power (a square), and thus also a powerful number.

263283076 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 8561476 + 254721600 = 2926^2 + 15960^2 .

It is not an unprimeable number, because it can be changed into a prime (263283071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4316086 + ... + 4316146.

Almost surely, 2263283076 is an apocalyptic number.

263283076 is the 16226-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263283076

263283076 is an abundant number, since it is smaller than the sum of its proper divisors (311804801).

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

263283076 is a wasteful number, since it uses less digits than its factorization.

263283076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The cubic root of 263283076 is about 640.9256430031.

The spelling of 263283076 in words is "two hundred sixty-three million, two hundred eighty-three thousand, seventy-six".

Divisors: 1 2 4 7 14 19 28 38 49 61 76 98 122 133 196 244 266 361 427 532 722 854 931 1159 1444 1708 1862 2318 2527 2989 3721 3724 4636 5054 5978 7442 8113 10108 11956 14884 16226 17689 22021 26047 32452 35378 44042 52094 56791 70699 70756 88084 104188 113582 141398 154147 182329 227164 282796 308294 364658 494893 616588 729316 989786 1079029 1343281 1979572 2158058 2686562 3464251 4316116 5373124 6928502 9402967 13857004 18805934 37611868 65820769 131641538 263283076