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51329166 = 2372712459
BaseRepresentation
bin1100001111001…
…1100010001110
310120120210101020
43003303202032
5101120013131
65032055010
71162201500
oct303634216
9116523336
1051329166
1126a793a9
1215234466
13a8323b5
146b61d70
15478d996
hex30f388e

51329166 has 48 divisors (see below), whose sum is σ = 121150080. Its totient is φ = 14453040.

The previous prime is 51329153. The next prime is 51329167. The reversal of 51329166 is 66192315.

It is a happy number.

51329166 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51329167) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19645 + ... + 22103.

It is an arithmetic number, because the mean of its divisors is an integer number (2523960).

Almost surely, 251329166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51329166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60575040).

51329166 is an abundant number, since it is smaller than the sum of its proper divisors (69820914).

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

51329166 is a wasteful number, since it uses less digits than its factorization.

51329166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2542 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 51329166 is about 7164.4375913256. The cubic root of 51329166 is about 371.6391025248.

The spelling of 51329166 in words is "fifty-one million, three hundred twenty-nine thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 49 71 98 142 147 213 294 426 497 994 1491 2459 2982 3479 4918 6958 7377 10437 14754 17213 20874 34426 51639 103278 120491 174589 240982 349178 361473 523767 722946 1047534 1222123 2444246 3666369 7332738 8554861 17109722 25664583 51329166