Search a number
-
+
51683508 = 2234269593
BaseRepresentation
bin1100010100101…
…0000010110100
310121020210110000
43011022002310
5101212333013
65043431300
71165205532
oct305120264
9117223400
1051683508
11271a0648
1215385530
13a927776
146c15152
15480d973
hex314a0b4

51683508 has 60 divisors (see below), whose sum is σ = 135841860. Its totient is φ = 17134848.

The previous prime is 51683497. The next prime is 51683537. The reversal of 51683508 is 80538615.

It can be written as a sum of positive squares in 2 ways, for example, as 15539364 + 36144144 = 3942^2 + 6012^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 86860 + ... + 87452.

It is an arithmetic number, because the mean of its divisors is an integer number (2264031).

Almost surely, 251683508 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 51683508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67920930).

51683508 is an abundant number, since it is smaller than the sum of its proper divisors (84158352).

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

51683508 is a wasteful number, since it uses less digits than its factorization.

51683508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 51683508 is about 7189.1242860309. The cubic root of 51683508 is about 372.4923242116.

The spelling of 51683508 in words is "fifty-one million, six hundred eighty-three thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 269 324 538 593 807 1076 1186 1614 1779 2372 2421 3228 3558 4842 5337 7116 7263 9684 10674 14526 16011 21348 21789 29052 32022 43578 48033 64044 87156 96066 159517 192132 319034 478551 638068 957102 1435653 1914204 2871306 4306959 5742612 8613918 12920877 17227836 25841754 51683508