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256146441 = 385382147
BaseRepresentation
bin11110100010001…
…11110000001001
3122211222120212020
433101013300021
51011033141231
641230035053
76230131425
oct1721076011
9584876766
10256146441
11121651681
1271948a89
13410b5255
1426039b85
151774a396
hexf447c09

256146441 has 4 divisors (see below), whose sum is σ = 341528592. Its totient is φ = 170764292.

The previous prime is 256146439. The next prime is 256146491. The reversal of 256146441 is 144641652.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 256146441 - 21 = 256146439 is a prime.

It is a super-3 number, since 3×2561464413 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (256146431) 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, 42691071 + ... + 42691076.

It is an arithmetic number, because the mean of its divisors is an integer number (85382148).

Almost surely, 2256146441 is an apocalyptic number.

It is an amenable number.

256146441 is a deficient number, since it is larger than the sum of its proper divisors (85382151).

256146441 is an equidigital number, since it uses as much as digits as its factorization.

256146441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85382150.

The product of its digits is 23040, while the sum is 33.

The square root of 256146441 is about 16004.5756269887. The cubic root of 256146441 is about 635.0814709364.

The spelling of 256146441 in words is "two hundred fifty-six million, one hundred forty-six thousand, four hundred forty-one".

Divisors: 1 3 85382147 256146441