Search a number
-
+
51076300 = 22521159787
BaseRepresentation
bin1100001011010…
…1110011001100
310120002221111211
43002311303030
5101033420200
65022424204
71160066332
oct302656314
9116087454
1051076300
1126916420
1215132064
13a774282
146ad7b52
15473daba
hex30b5ccc

51076300 has 72 divisors (see below), whose sum is σ = 123117120. Its totient is φ = 18235200.

The previous prime is 51076229. The next prime is 51076301. The reversal of 51076300 is 367015.

51076300 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 (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51076301) 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 23 ways as a sum of consecutive naturals, for example, 64507 + ... + 65293.

It is an arithmetic number, because the mean of its divisors is an integer number (1709960).

Almost surely, 251076300 is an apocalyptic number.

51076300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51076300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61558560).

51076300 is an abundant number, since it is smaller than the sum of its proper divisors (72040820).

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

51076300 is a wasteful number, since it uses less digits than its factorization.

51076300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 51076300 is about 7146.7685005183. The cubic root of 51076300 is about 371.0278215030.

The spelling of 51076300 in words is "fifty-one million, seventy-six thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 110 118 220 236 275 295 550 590 649 787 1100 1180 1298 1475 1574 2596 2950 3148 3245 3935 5900 6490 7870 8657 12980 15740 16225 17314 19675 32450 34628 39350 43285 46433 64900 78700 86570 92866 173140 185732 216425 232165 432850 464330 510763 865700 928660 1021526 1160825 2043052 2321650 2553815 4643300 5107630 10215260 12769075 25538150 51076300