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51757134 = 231113179337
BaseRepresentation
bin1100010101110…
…0000001001110
310121101112102220
43011130001032
5101222212014
65045200210
71165633302
oct305340116
9117345386
1051757134
11272409a0
1215400066
13a952130
146c33d02
1548256a9
hex315c04e

51757134 has 64 divisors (see below), whose sum is σ = 122653440. Its totient is φ = 14353920.

The previous prime is 51757133. The next prime is 51757157. The reversal of 51757134 is 43175715.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 51757095 and 51757104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51757133) 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 31 ways as a sum of consecutive naturals, for example, 153414 + ... + 153750.

It is an arithmetic number, because the mean of its divisors is an integer number (1916460).

Almost surely, 251757134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51757134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61326720).

51757134 is an abundant number, since it is smaller than the sum of its proper divisors (70896306).

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

51757134 is a wasteful number, since it uses less digits than its factorization.

51757134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545.

The product of its digits is 14700, while the sum is 33.

The square root of 51757134 is about 7194.2431151581. The cubic root of 51757134 is about 372.6691188885.

The spelling of 51757134 in words is "fifty-one million, seven hundred fifty-seven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 179 286 337 358 429 537 674 858 1011 1074 1969 2022 2327 3707 3938 4381 4654 5907 6981 7414 8762 11121 11814 13143 13962 22242 25597 26286 48191 51194 60323 76791 96382 120646 144573 153582 180969 289146 361938 663553 784199 1327106 1568398 1990659 2352597 3981318 4705194 8626189 17252378 25878567 51757134