Search a number
-
+
256742109 = 33131722531
BaseRepresentation
bin11110100110110…
…01001011011101
3122220002211222000
433103121023131
51011211221414
641250512513
76235162161
oct1723311335
9586084860
10256742109
11121a19168
1271b95739
1341263410
1426152ca1
1517816b09
hexf4d92dd

256742109 has 48 divisors (see below), whose sum is σ = 435301440. Its totient is φ = 148642560.

The previous prime is 256742069. The next prime is 256742111. The reversal of 256742109 is 901247652.

It is not a de Polignac number, because 256742109 - 211 = 256740061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256742119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100174 + ... + 102704.

It is an arithmetic number, because the mean of its divisors is an integer number (9068780).

Almost surely, 2256742109 is an apocalyptic number.

It is an amenable number.

256742109 is a deficient number, since it is larger than the sum of its proper divisors (178559331).

256742109 is a wasteful number, since it uses less digits than its factorization.

256742109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 256742109 is about 16023.1741237496. The cubic root of 256742109 is about 635.5733833530.

The spelling of 256742109 in words is "two hundred fifty-six million, seven hundred forty-two thousand, one hundred nine".

Divisors: 1 3 9 13 17 27 39 51 117 153 221 289 351 459 663 867 1989 2531 2601 3757 5967 7593 7803 11271 22779 32903 33813 43027 68337 98709 101439 129081 296127 387243 559351 731459 888381 1161729 1678053 2194377 5034159 6583131 9508967 15102477 19749393 28526901 85580703 256742109