Search a number
-
+
51364640 = 2552511279
BaseRepresentation
bin1100001111110…
…0001100100000
310120122121001002
43003330030200
5101122132030
65032531132
71162410065
oct303741440
9116577032
1051364640
1126aa3018
1215250aa8
13a8455a2
146b70c6c
154799245
hex30fc320

51364640 has 48 divisors (see below), whose sum is σ = 121927680. Its totient is φ = 20448000.

The previous prime is 51364639. The next prime is 51364739. The reversal of 51364640 is 4646315.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 39521 + ... + 40799.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 251364640 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 51364640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

51364640 is an abundant number, since it is smaller than the sum of its proper divisors (70563040).

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

51364640 is a wasteful number, since it uses less digits than its factorization.

51364640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 51364640 is about 7166.9128639882. The cubic root of 51364640 is about 371.7246970684.

The spelling of 51364640 in words is "fifty-one million, three hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 251 502 1004 1255 1279 2008 2510 2558 4016 5020 5116 6395 8032 10040 10232 12790 20080 20464 25580 40160 40928 51160 102320 204640 321029 642058 1284116 1605145 2568232 3210290 5136464 6420580 10272928 12841160 25682320 51364640