Search a number
-
+
257563780 = 22512878189
BaseRepresentation
bin11110101101000…
…01110010000100
3122221122121002021
433112201302010
51011414020110
641320252524
76245153545
oct1726416204
9587577067
10257563780
1112242a531
1272311144
1341490406
14262c84cc
151792a2da
hexf5a1c84

257563780 has 12 divisors (see below), whose sum is σ = 540883980. Its totient is φ = 103025504.

The previous prime is 257563769. The next prime is 257563781. The reversal of 257563780 is 87365752.

It can be written as a sum of positive squares in 2 ways, for example, as 81577024 + 175986756 = 9032^2 + 13266^2 .

It is not an unprimeable number, because it can be changed into a prime (257563781) 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, 6439075 + ... + 6439114.

It is an arithmetic number, because the mean of its divisors is an integer number (45073665).

Almost surely, 2257563780 is an apocalyptic number.

257563780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257563780 is an abundant number, since it is smaller than the sum of its proper divisors (283320200).

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

257563780 is a wasteful number, since it uses less digits than its factorization.

257563780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12878198 (or 12878196 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 43.

The square root of 257563780 is about 16048.7937241401. The cubic root of 257563780 is about 636.2506856922.

The spelling of 257563780 in words is "two hundred fifty-seven million, five hundred sixty-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 12878189 25756378 51512756 64390945 128781890 257563780