Search a number
-
+
256057812 = 22327112717
BaseRepresentation
bin11110100001100…
…10000111010100
3122211211002021200
433100302013110
51011022322222
641224112500
76226312143
oct1720620724
9584732250
10256057812
111215a102a
1271905730
1341083aca
142601575a
151772deac
hexf4321d4

256057812 has 18 divisors (see below), whose sum is σ = 647257338. Its totient is φ = 85352592.

The previous prime is 256057721. The next prime is 256057843. The reversal of 256057812 is 218750652.

It is a happy number.

256057812 is a `hidden beast` number, since 25 + 60 + 578 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 254530116 + 1527696 = 15954^2 + 1236^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 7112717 = 256057812 / (2 + 5 + 6 + 0 + 5 + 7 + 8 + 1 + 2).

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 5 ways as a sum of consecutive naturals, for example, 3556323 + ... + 3556394.

It is an arithmetic number, because the mean of its divisors is an integer number (35958741).

Almost surely, 2256057812 is an apocalyptic number.

It is an amenable number.

256057812 is an abundant number, since it is smaller than the sum of its proper divisors (391199526).

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

256057812 is a wasteful number, since it uses less digits than its factorization.

256057812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7112727 (or 7112722 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 256057812 is about 16001.8065230148. The cubic root of 256057812 is about 635.0082144968.

The spelling of 256057812 in words is "two hundred fifty-six million, fifty-seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 7112717 14225434 21338151 28450868 42676302 64014453 85352604 128028906 256057812