Search a number
-
+
51929328 = 2431128941
BaseRepresentation
bin1100011000011…
…0000011110000
310121201021122110
43012012003300
5101243214303
65053005320
71200251313
oct306060360
9117637573
1051929328
1127349300
1215483840
13a9b2619
146c7a97a
15485b703
hex31860f0

51929328 has 60 divisors (see below), whose sum is σ = 147471464. Its totient is φ = 15734400.

The previous prime is 51929327. The next prime is 51929351. The reversal of 51929328 is 82392915.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51929321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1338 + ... + 10278.

Almost surely, 251929328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51929328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73735732).

51929328 is an abundant number, since it is smaller than the sum of its proper divisors (95542136).

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

51929328 is a wasteful number, since it uses less digits than its factorization.

51929328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8974 (or 8957 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 51929328 is about 7206.2006633177. The cubic root of 51929328 is about 373.0819466947.

The spelling of 51929328 in words is "fifty-one million, nine hundred twenty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2904 5808 8941 17882 26823 35764 53646 71528 98351 107292 143056 196702 214584 295053 393404 429168 590106 786808 1081861 1180212 1573616 2163722 2360424 3245583 4327444 4720848 6491166 8654888 12982332 17309776 25964664 51929328