Search a number
-
+
51427494 = 2332347881
BaseRepresentation
bin1100010000101…
…1100010100110
310120202210021000
43010023202212
5101131134434
65034134130
71163061246
oct304134246
9116683230
1051427494
1127036268
1215281346
13a868091
146b89b26
1547acb99
hex310b8a6

51427494 has 64 divisors (see below), whose sum is σ = 121927680. Its totient is φ = 16030080.

The previous prime is 51427477. The next prime is 51427513. The reversal of 51427494 is 49472415.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 57934 + ... + 58814.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 251427494 is an apocalyptic number.

51427494 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51427494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

51427494 is an abundant number, since it is smaller than the sum of its proper divisors (70500186).

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

51427494 is a wasteful number, since it uses less digits than its factorization.

51427494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 956 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 51427494 is about 7171.2965354948. The cubic root of 51427494 is about 371.8762595725.

The spelling of 51427494 in words is "fifty-one million, four hundred twenty-seven thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 18 23 27 46 47 54 69 94 138 141 207 282 414 423 621 846 881 1081 1242 1269 1762 2162 2538 2643 3243 5286 6486 7929 9729 15858 19458 20263 23787 29187 40526 41407 47574 58374 60789 82814 121578 124221 182367 248442 364734 372663 547101 745326 952361 1094202 1117989 1904722 2235978 2857083 5714166 8571249 17142498 25713747 51427494