Search a number
-
+
51688630 = 2572372851
BaseRepresentation
bin1100010100101…
…1010010110110
310121021001110201
43011023102312
5101213014010
65043511114
71165226500
oct305132266
9117231421
1051688630
11271a4484
121538849a
13a929bb6
146c16d70
15481023a
hex314b4b6

51688630 has 48 divisors (see below), whose sum is σ = 111193776. Its totient is φ = 17236800.

The previous prime is 51688627. The next prime is 51688649. The reversal of 51688630 is 3688615.

51688630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 51688630.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 16705 + ... + 19555.

It is an arithmetic number, because the mean of its divisors is an integer number (2316537).

Almost surely, 251688630 is an apocalyptic number.

51688630 is an abundant number, since it is smaller than the sum of its proper divisors (59505146).

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

51688630 is a wasteful number, since it uses less digits than its factorization.

51688630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 51688630 is about 7189.4805097448. The cubic root of 51688630 is about 372.5046288631.

The spelling of 51688630 in words is "fifty-one million, six hundred eighty-eight thousand, six hundred thirty".

Divisors: 1 2 5 7 10 14 35 37 49 70 74 98 185 245 259 370 490 518 1295 1813 2590 2851 3626 5702 9065 14255 18130 19957 28510 39914 99785 105487 139699 199570 210974 279398 527435 698495 738409 1054870 1396990 1476818 3692045 5168863 7384090 10337726 25844315 51688630