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264485376 = 293257397
BaseRepresentation
bin11111100001110…
…11101000000000
3200102200020201200
433300323220000
51020202013001
642124501200
76361042251
oct1760735000
9612606650
10264485376
11126327861
12746aa800
1342a44a2c
14271aab28
1518346086
hexfc3ba00

264485376 has 60 divisors (see below), whose sum is σ = 763336002. Its totient is φ = 88160256.

The previous prime is 264485363. The next prime is 264485399. The reversal of 264485376 is 673584462.

It can be written as a sum of positive squares in only one way, i.e., 261662976 + 2822400 = 16176^2 + 1680^2 .

It is a super-2 number, since 2×2644853762 = 139905028235722752, which contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 24091 + ... + 33306.

Almost surely, 2264485376 is an apocalyptic number.

It is an amenable number.

264485376 is an abundant number, since it is smaller than the sum of its proper divisors (498850626).

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

264485376 is an equidigital number, since it uses as much as digits as its factorization.

264485376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57421 (or 57402 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 264485376 is about 16263.0063641382. The cubic root of 264485376 is about 641.8997718166.

The spelling of 264485376 in words is "two hundred sixty-four million, four hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 57397 114794 172191 229588 344382 459176 516573 688764 918352 1033146 1377528 1836704 2066292 2755056 3673408 4132584 5510112 7346816 8265168 11020224 14693632 16530336 22040448 29387264 33060672 44080896 66121344 88161792 132242688 264485376