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259530064 = 2416220629
BaseRepresentation
bin11110111100000…
…01110101010000
3200002100111022121
433132001311100
51012414430224
641430344024
76300653263
oct1736016520
9602314277
10259530064
11123552862
1272abb014
13419cb3b1
142667acda
1517bb7be4
hexf781d50

259530064 has 10 divisors (see below), whose sum is σ = 502839530. Its totient is φ = 129765024.

The previous prime is 259530059. The next prime is 259530071. The reversal of 259530064 is 460035952.

259530064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 258952464 + 577600 = 16092^2 + 760^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8110299 + ... + 8110330.

It is an arithmetic number, because the mean of its divisors is an integer number (50283953).

Almost surely, 2259530064 is an apocalyptic number.

It is an amenable number.

259530064 is a deficient number, since it is larger than the sum of its proper divisors (243309466).

259530064 is a wasteful number, since it uses less digits than its factorization.

259530064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16220637 (or 16220631 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 259530064 is about 16109.9368093112. The cubic root of 259530064 is about 637.8656635498.

The spelling of 259530064 in words is "two hundred fifty-nine million, five hundred thirty thousand, sixty-four".

Divisors: 1 2 4 8 16 16220629 32441258 64882516 129765032 259530064