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51330132 = 22337431579
BaseRepresentation
bin1100001111001…
…1110001010100
310120120211201000
43003303301110
5101120031012
65032103300
71162204350
oct303636124
9116524630
1051330132
1126a7a0a7
1215234b30
13a832979
146b62460
15478dddc
hex30f3c54

51330132 has 96 divisors (see below), whose sum is σ = 155724800. Its totient is φ = 14315616.

The previous prime is 51330113. The next prime is 51330143. The reversal of 51330132 is 23103315.

51330132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×513301322 = 5269564902274848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 31719 + ... + 33297.

Almost surely, 251330132 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 51330132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77862400).

51330132 is an abundant number, since it is smaller than the sum of its proper divisors (104394668).

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

51330132 is a wasteful number, since it uses less digits than its factorization.

51330132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 51330132 is about 7164.5050073260. The cubic root of 51330132 is about 371.6414338902.

Adding to 51330132 its reverse (23103315), we get a palindrome (74433447).

The spelling of 51330132 in words is "fifty-one million, three hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 84 86 108 126 129 172 189 252 258 301 378 387 516 602 756 774 903 1161 1204 1548 1579 1806 2322 2709 3158 3612 4644 4737 5418 6316 8127 9474 10836 11053 14211 16254 18948 22106 28422 32508 33159 42633 44212 56844 66318 67897 85266 99477 132636 135794 170532 198954 203691 271588 298431 397908 407382 475279 596862 611073 814764 950558 1193724 1222146 1425837 1833219 1901116 2444292 2851674 3666438 4277511 5703348 7332876 8555022 12832533 17110044 25665066 51330132