Search a number
-
+
51764928 = 263359751
BaseRepresentation
bin1100010101110…
…1111011000000
310121101221010120
43011131323000
5101222434203
65045300240
71165665105
oct305357300
9117357116
1051764928
1127246836
1215404680
13a955847
146c36aac
154827b53
hex315dec0

51764928 has 56 divisors (see below), whose sum is σ = 137525760. Its totient is φ = 17184000.

The previous prime is 51764899. The next prime is 51764939. The reversal of 51764928 is 82946715.

51764928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 51764928.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 68553 + ... + 69303.

Almost surely, 251764928 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 51764928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68762880).

51764928 is an abundant number, since it is smaller than the sum of its proper divisors (85760832).

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

51764928 is a wasteful number, since it uses less digits than its factorization.

51764928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1115 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 51764928 is about 7194.7847778790. The cubic root of 51764928 is about 372.6878244408.

The spelling of 51764928 in words is "fifty-one million, seven hundred sixty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 359 718 751 1077 1436 1502 2154 2253 2872 3004 4308 4506 5744 6008 8616 9012 11488 12016 17232 18024 22976 24032 34464 36048 48064 68928 72096 144192 269609 539218 808827 1078436 1617654 2156872 3235308 4313744 6470616 8627488 12941232 17254976 25882464 51764928