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256416424 = 23112264893
BaseRepresentation
bin11110100100010…
…01101010101000
3122212111022012121
433102021222220
51011120311144
641235521024
76232334515
oct1722115250
9585438177
10256416424
11121816500
1271a59174
134117b0c4
14260aa30c
15177a0384
hexf489aa8

256416424 has 24 divisors (see below), whose sum is σ = 528463530. Its totient is φ = 116552480.

The previous prime is 256416421. The next prime is 256416431. The reversal of 256416424 is 424614652.

It can be written as a sum of positive squares in only one way, i.e., 240560100 + 15856324 = 15510^2 + 3982^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 256416424.

It is not an unprimeable number, because it can be changed into a prime (256416421) 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 5 ways as a sum of consecutive naturals, for example, 131479 + ... + 133414.

Almost surely, 2256416424 is an apocalyptic number.

It is an amenable number.

256416424 is an abundant number, since it is smaller than the sum of its proper divisors (272047106).

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

256416424 is a wasteful number, since it uses less digits than its factorization.

256416424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264921 (or 264906 counting only the distinct ones).

The product of its digits is 46080, while the sum is 34.

The square root of 256416424 is about 16013.0079622787. The cubic root of 256416424 is about 635.3045217223.

The spelling of 256416424 in words is "two hundred fifty-six million, four hundred sixteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 264893 529786 1059572 2119144 2913823 5827646 11655292 23310584 32052053 64104106 128208212 256416424