Search a number
-
+
51883146 = 2337294733
BaseRepresentation
bin1100010111101…
…0110010001010
310121121221022000
43011322302022
5101240230041
65052011430
71166666550
oct305726212
9117557260
1051883146
1127317637
1215460b76
13a9975b3
146c67bd0
15484cbb6
hex317ac8a

51883146 has 64 divisors (see below), whose sum is σ = 136339200. Its totient is φ = 14309568.

The previous prime is 51883103. The next prime is 51883151. The reversal of 51883146 is 64138815.

51883146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 51883146.

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 31 ways as a sum of consecutive naturals, for example, 8596 + ... + 13328.

It is an arithmetic number, because the mean of its divisors is an integer number (2130300).

Almost surely, 251883146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51883146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68169600).

51883146 is an abundant number, since it is smaller than the sum of its proper divisors (84456054).

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

51883146 is a wasteful number, since it uses less digits than its factorization.

51883146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4780 (or 4774 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 51883146 is about 7202.9956268208. The cubic root of 51883146 is about 372.9713169778.

The spelling of 51883146 in words is "fifty-one million, eight hundred eighty-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 87 126 174 189 203 261 378 406 522 609 783 1218 1566 1827 3654 4733 5481 9466 10962 14199 28398 33131 42597 66262 85194 99393 127791 137257 198786 255582 274514 298179 411771 596358 823542 894537 960799 1235313 1789074 1921598 2470626 2882397 3705939 5764794 7411878 8647191 17294382 25941573 51883146