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256525040 = 2453206563
BaseRepresentation
bin11110100101001…
…00001011110000
3122212200211012102
433102210023300
51011132300130
641242115532
76233266262
oct1722441360
9585624172
10256525040
11121890072
1271aabba8
13411b8685
14260d7b32
15177c2645
hexf4a42f0

256525040 has 20 divisors (see below), whose sum is σ = 596420904. Its totient is φ = 102609984.

The previous prime is 256525021. The next prime is 256525043. The reversal of 256525040 is 40525652.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×2565250402 = 131610192294003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 256524994 and 256525012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256525043) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1603202 + ... + 1603361.

Almost surely, 2256525040 is an apocalyptic number.

256525040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256525040 is an abundant number, since it is smaller than the sum of its proper divisors (339895864).

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

256525040 is a wasteful number, since it uses less digits than its factorization.

256525040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206576 (or 3206570 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 256525040 is about 16016.3990959266. The cubic root of 256525040 is about 635.3942124085.

The spelling of 256525040 in words is "two hundred fifty-six million, five hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3206563 6413126 12826252 16032815 25652504 32065630 51305008 64131260 128262520 256525040