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256240900 = 22522639743
BaseRepresentation
bin11110100010111…
…10110100000100
3122212011101102201
433101132310010
51011044202100
641232044244
76231004006
oct1721366404
9585141381
10256240900
11121706643
1271993684
1341119246
1426062376
151776836a
hexf45ed04

256240900 has 36 divisors (see below), whose sum is σ = 558214272. Its totient is φ = 102096160.

The previous prime is 256240843. The next prime is 256240921. The reversal of 256240900 is 9042652.

256240900 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 11 ways as a sum of consecutive naturals, for example, 21429 + ... + 31171.

It is an arithmetic number, because the mean of its divisors is an integer number (15505952).

Almost surely, 2256240900 is an apocalyptic number.

256240900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256240900 is an abundant number, since it is smaller than the sum of its proper divisors (301973372).

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

256240900 is a wasteful number, since it uses less digits than its factorization.

256240900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10020 (or 10013 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 256240900 is about 16007.5263548120. The cubic root of 256240900 is about 635.1595275719.

The spelling of 256240900 in words is "two hundred fifty-six million, two hundred forty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 263 526 1052 1315 2630 5260 6575 9743 13150 19486 26300 38972 48715 97430 194860 243575 487150 974300 2562409 5124818 10249636 12812045 25624090 51248180 64060225 128120450 256240900