Search a number
-
+
256414900 = 22527366307
BaseRepresentation
bin11110100100010…
…01010010110100
3122212111020010011
433102021102310
51011120234100
641235510004
76232330210
oct1722112264
9585436104
10256414900
11121815345
1271a58304
134117a4c1
14260a9940
151779ebba
hexf4894b4

256414900 has 36 divisors (see below), whose sum is σ = 635910688. Its totient is φ = 87913440.

The previous prime is 256414889. The next prime is 256414913. The reversal of 256414900 is 9414652.

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 11 ways as a sum of consecutive naturals, for example, 182454 + ... + 183853.

Almost surely, 2256414900 is an apocalyptic number.

256414900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256414900 is an abundant number, since it is smaller than the sum of its proper divisors (379495788).

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

256414900 is a wasteful number, since it uses less digits than its factorization.

256414900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366328 (or 366321 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 256414900 is about 16012.9603758955. The cubic root of 256414900 is about 635.3032630848.

The spelling of 256414900 in words is "two hundred fifty-six million, four hundred fourteen thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 366307 732614 1465228 1831535 2564149 3663070 5128298 7326140 9157675 10256596 12820745 18315350 25641490 36630700 51282980 64103725 128207450 256414900