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264281316 = 2231323731009
BaseRepresentation
bin11111100000010…
…01110011100100
3200102021212210220
433300021303210
51020124000231
642120244340
76356232315
oct1760116344
9612255726
10264281316
111261a8512
12746106b0
13429a2ba0
142715660c
1518305896
hexfc09ce4

264281316 has 96 divisors (see below), whose sum is σ = 703153920. Its totient is φ = 76640256.

The previous prime is 264281309. The next prime is 264281327. The reversal of 264281316 is 613182462.

264281316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2642813162 = 139689227973383712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261420 + ... + 262428.

It is an arithmetic number, because the mean of its divisors is an integer number (7324520).

Almost surely, 2264281316 is an apocalyptic number.

264281316 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264281316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351576960).

264281316 is an abundant number, since it is smaller than the sum of its proper divisors (438872604).

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

264281316 is a wasteful number, since it uses less digits than its factorization.

264281316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1123 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 264281316 is about 16256.7314057900. The cubic root of 264281316 is about 641.7346464062.

The spelling of 264281316 in words is "two hundred sixty-four million, two hundred eighty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 73 78 92 138 146 156 219 276 292 299 438 598 876 897 949 1009 1196 1679 1794 1898 2018 2847 3027 3358 3588 3796 4036 5037 5694 6054 6716 10074 11388 12108 13117 20148 21827 23207 26234 39351 43654 46414 52468 65481 69621 73657 78702 87308 92828 130962 139242 147314 157404 220971 261924 278484 294628 301691 441942 603382 883884 905073 957541 1206764 1694111 1810146 1915082 2872623 3388222 3620292 3830164 5082333 5745246 6776444 10164666 11490492 20329332 22023443 44046886 66070329 88093772 132140658 264281316