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264032256 = 212321487
BaseRepresentation
bin11111011110011…
…01000000000000
3200101211020011110
433233031000000
51020043013011
642111043320
76354144225
oct1757150000
9611736143
10264032256
11126048384
1274510540
1342916707
14270cd94c
15182a6ba6
hexfbcd000

264032256 has 52 divisors (see below), whose sum is σ = 704032832. Its totient is φ = 88006656.

The previous prime is 264032231. The next prime is 264032267. The reversal of 264032256 is 652230462.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1545 + ... + 23031.

Almost surely, 2264032256 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 264032256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352016416).

264032256 is an abundant number, since it is smaller than the sum of its proper divisors (440000576).

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

264032256 is an equidigital number, since it uses as much as digits as its factorization.

264032256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21514 (or 21492 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 264032256 is about 16249.0693887373. The cubic root of 264032256 is about 641.5329917603.

The spelling of 264032256 in words is "two hundred sixty-four million, thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 12288 21487 42974 64461 85948 128922 171896 257844 343792 515688 687584 1031376 1375168 2062752 2750336 4125504 5500672 8251008 11001344 16502016 22002688 33004032 44005376 66008064 88010752 132016128 264032256