Search a number
-
+
51126894 = 23275132
BaseRepresentation
bin1100001100001…
…0001001101110
310120012111220200
43003002021232
5101042030034
65023454330
71160400000
oct303021156
9116174820
1051126894
1126950435
12151573a6
13a791300
146b0c370
15474da99
hex30c226e

51126894 has 108 divisors (see below), whose sum is σ = 139942296. Its totient is φ = 13484016.

The previous prime is 51126869. The next prime is 51126899. The reversal of 51126894 is 49862115.

It is a super-2 number, since 2×511268942 = 5227918580174472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51126899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3932832 + ... + 3932844.

It is an arithmetic number, because the mean of its divisors is an integer number (1295762).

Almost surely, 251126894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51126894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69971148).

51126894 is an abundant number, since it is smaller than the sum of its proper divisors (88815402).

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

51126894 is an equidigital number, since it uses as much as digits as its factorization.

51126894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 25 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 51126894 is about 7150.3072661250. The cubic root of 51126894 is about 371.1502891761.

The spelling of 51126894 in words is "fifty-one million, one hundred twenty-six thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 169 182 234 273 294 338 343 441 507 546 637 686 819 882 1014 1029 1183 1274 1521 1638 1911 2058 2366 2401 3042 3087 3549 3822 4459 4802 5733 6174 7098 7203 8281 8918 10647 11466 13377 14406 16562 16807 21294 21609 24843 26754 31213 33614 40131 43218 49686 50421 57967 62426 74529 80262 93639 100842 115934 149058 151263 173901 187278 218491 280917 302526 347802 405769 436982 521703 561834 655473 811538 1043406 1217307 1310946 1966419 2434614 2840383 3651921 3932838 5680766 7303842 8521149 17042298 25563447 51126894