Search a number
-
+
256523460 = 22357358567
BaseRepresentation
bin11110100101000…
…11110011000100
3122212200202000220
433102203303010
51011132222320
641242104340
76233261544
oct1722436304
9585622026
10256523460
11121889966
1271aab0b0
13411b7a3b
14260d7324
15177c1e40
hexf4a3cc4

256523460 has 48 divisors (see below), whose sum is σ = 728117376. Its totient is φ = 67468032.

The previous prime is 256523453. The next prime is 256523513. The reversal of 256523460 is 64325652.

256523460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24904 + ... + 33663.

It is an arithmetic number, because the mean of its divisors is an integer number (15169112).

Almost surely, 2256523460 is an apocalyptic number.

256523460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256523460 is an abundant number, since it is smaller than the sum of its proper divisors (471593916).

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

256523460 is a wasteful number, since it uses less digits than its factorization.

256523460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58652 (or 58650 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 256523460 is about 16016.3497714055. The cubic root of 256523460 is about 635.3929078901.

The spelling of 256523460 in words is "two hundred fifty-six million, five hundred twenty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 58567 117134 175701 234268 292835 351402 585670 702804 878505 1171340 1757010 3514020 4275391 8550782 12826173 17101564 21376955 25652346 42753910 51304692 64130865 85507820 128261730 256523460