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256906414 = 21759831543
BaseRepresentation
bin11110101000000…
…01010010101110
3122220102012100101
433110001102232
51011232001124
641254221314
76236445202
oct1724012256
9586365311
10256906414
11122020656
127205483a
13412c013b
1426196b02
151784a644
hexf5014ae

256906414 has 32 divisors (see below), whose sum is σ = 420215040. Its totient is φ = 117340032.

The previous prime is 256906399. The next prime is 256906453. The reversal of 256906414 is 414609652.

256906414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 165727 + ... + 167269.

It is an arithmetic number, because the mean of its divisors is an integer number (13131720).

Almost surely, 2256906414 is an apocalyptic number.

256906414 is a deficient number, since it is larger than the sum of its proper divisors (163308626).

256906414 is a wasteful number, since it uses less digits than its factorization.

256906414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704.

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 256906414 is about 16028.3004089641. The cubic root of 256906414 is about 635.7089352193.

The spelling of 256906414 in words is "two hundred fifty-six million, nine hundred six thousand, four hundred fourteen".

Divisors: 1 2 17 34 59 83 118 166 1003 1411 1543 2006 2822 3086 4897 9794 26231 52462 83249 91037 128069 166498 182074 256138 1547629 2177173 3095258 4354346 7556071 15112142 128453207 256906414