Search a number
-
+
256173126 = 231123374561
BaseRepresentation
bin11110100010011…
…10010001000110
3122212000221110120
433101032101012
51011040020001
641230402410
76230302266
oct1721162106
9585027416
10256173126
1112166a730
1271960406
13410c4441
14260457a6
1517753236
hexf44e446

256173126 has 64 divisors (see below), whose sum is σ = 599118336. Its totient is φ = 72230400.

The previous prime is 256173107. The next prime is 256173131. The reversal of 256173126 is 621371652.

It is a super-2 number, since 2×2561731262 = 131249340969223752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 53886 + ... + 58446.

It is an arithmetic number, because the mean of its divisors is an integer number (9361224).

Almost surely, 2256173126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256173126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299559168).

256173126 is an abundant number, since it is smaller than the sum of its proper divisors (342945210).

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

256173126 is a wasteful number, since it uses less digits than its factorization.

256173126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637.

The product of its digits is 15120, while the sum is 33.

The square root of 256173126 is about 16005.4092731176. The cubic root of 256173126 is about 635.1035241553.

The spelling of 256173126 in words is "two hundred fifty-six million, one hundred seventy-three thousand, one hundred twenty-six".

Divisors: 1 2 3 6 11 22 23 33 37 46 66 69 74 111 138 222 253 407 506 759 814 851 1221 1518 1702 2442 2553 4561 5106 9122 9361 13683 18722 27366 28083 50171 56166 100342 104903 150513 168757 209806 301026 314709 337514 506271 629418 1012542 1153933 1856327 2307866 3461799 3712654 3881411 5568981 6923598 7762822 11137962 11644233 23288466 42695521 85391042 128086563 256173126