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264301056 = 29346373
BaseRepresentation
bin11111100000011…
…10101000000000
3200102022212220000
433300032220000
51020130113211
642120520000
76356344005
oct1760165000
9612285800
10264301056
11126211328
1274620000
13429abb76
142715d8ac
151830b656
hexfc0ea00

264301056 has 100 divisors (see below), whose sum is σ = 788992842. Its totient is φ = 88086528.

The previous prime is 264301049. The next prime is 264301067. The reversal of 264301056 is 650103462.

264301056 is a `hidden beast` number, since 2 + 643 + 0 + 10 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 187142400 + 77158656 = 13680^2 + 8784^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38286 + ... + 44658.

Almost surely, 2264301056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264301056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394496421).

264301056 is an abundant number, since it is smaller than the sum of its proper divisors (524691786).

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

264301056 is an frugal number, since it uses more digits than its factorization.

264301056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6403 (or 6378 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 264301056 is about 16257.3385275696. The cubic root of 264301056 is about 641.7506237326.

The spelling of 264301056 in words is "two hundred sixty-four million, three hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6373 6912 10368 12746 13824 19119 20736 25492 38238 41472 50984 57357 76476 101968 114714 152952 172071 203936 229428 305904 344142 407872 458856 516213 611808 688284 815744 917712 1032426 1223616 1376568 1631488 1835424 2064852 2447232 2753136 3262976 3670848 4129704 4894464 5506272 7341696 8259408 9788928 11012544 14683392 16518816 22025088 29366784 33037632 44050176 66075264 88100352 132150528 264301056