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258278560 = 2551614241
BaseRepresentation
bin11110110010100…
…00010010100000
3122222222220120121
433121100102200
51012104403220
641343450024
76254221501
oct1731202240
9588886517
10258278560
11122878561
12725b6914
1341680867
1426432ba8
1517a1beaa
hexf6504a0

258278560 has 24 divisors (see below), whose sum is σ = 610183476. Its totient is φ = 103311360.

The previous prime is 258278539. The next prime is 258278561. The reversal of 258278560 is 65872852.

It can be written as a sum of positive squares in 2 ways, for example, as 257409936 + 868624 = 16044^2 + 932^2 .

It is not an unprimeable number, because it can be changed into a prime (258278561) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 806961 + ... + 807280.

Almost surely, 2258278560 is an apocalyptic number.

258278560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258278560 is an abundant number, since it is smaller than the sum of its proper divisors (351904916).

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

258278560 is a wasteful number, since it uses less digits than its factorization.

258278560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614256 (or 1614248 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The square root of 258278560 is about 16071.0472589685. The cubic root of 258278560 is about 636.8387073178.

The spelling of 258278560 in words is "two hundred fifty-eight million, two hundred seventy-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1614241 3228482 6456964 8071205 12913928 16142410 25827856 32284820 51655712 64569640 129139280 258278560