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256565442 = 23726323227
BaseRepresentation
bin11110100101011…
…10000011000010
3122212202212121210
433102232003002
51011140043232
641243030550
76233525130
oct1722560302
9585685553
10256565442
11121908461
1271b0b456
1341200b93
1426108750
15177ce5cc
hexf4ae0c2

256565442 has 32 divisors (see below), whose sum is σ = 588690432. Its totient is φ = 73022544.

The previous prime is 256565429. The next prime is 256565443. The reversal of 256565442 is 244565652.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 256565442.

It is not an unprimeable number, because it can be changed into a prime (256565443) 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 15 ways as a sum of consecutive naturals, for example, 568 + ... + 22659.

It is an arithmetic number, because the mean of its divisors is an integer number (18396576).

Almost surely, 2256565442 is an apocalyptic number.

256565442 is an abundant number, since it is smaller than the sum of its proper divisors (332124990).

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

256565442 is a wasteful number, since it uses less digits than its factorization.

256565442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23502.

The product of its digits is 288000, while the sum is 39.

The square root of 256565442 is about 16017.6603160387. The cubic root of 256565442 is about 635.4275682807.

The spelling of 256565442 in words is "two hundred fifty-six million, five hundred sixty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 263 526 789 1578 1841 3682 5523 11046 23227 46454 69681 139362 162589 325178 487767 975534 6108701 12217402 18326103 36652206 42760907 85521814 128282721 256565442