Search a number
-
+
51325416 = 2332977349
BaseRepresentation
bin1100001111001…
…0100111101000
310120120121020100
43003302213220
5101114403131
65032025400
71162154532
oct303624750
9116517210
1051325416
1126a765aa
1215232260
13a83078c
146b60852
15478c7e6
hex30f29e8

51325416 has 48 divisors (see below), whose sum is σ = 140458500. Its totient is φ = 16929792.

The previous prime is 51325411. The next prime is 51325423. The reversal of 51325416 is 61452315.

51325416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 51065316 + 260100 = 7146^2 + 510^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 51325416.

It is not an unprimeable number, because it can be changed into a prime (51325411) 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 11 ways as a sum of consecutive naturals, for example, 3310 + ... + 10658.

Almost surely, 251325416 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 51325416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70229250).

51325416 is an abundant number, since it is smaller than the sum of its proper divisors (89133084).

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

51325416 is a wasteful number, since it uses less digits than its factorization.

51325416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7458 (or 7451 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 51325416 is about 7164.1758772381. The cubic root of 51325416 is about 371.6300519162.

The spelling of 51325416 in words is "fifty-one million, three hundred twenty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3492 6984 7349 14698 22047 29396 44094 58792 66141 88188 132282 176376 264564 529128 712853 1425706 2138559 2851412 4277118 5702824 6415677 8554236 12831354 17108472 25662708 51325416