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51305980 = 225111012309
BaseRepresentation
bin1100001110110…
…1110111111100
310120112121120111
43003231313330
5101113242410
65031355404
71162044055
oct303556774
9116477514
1051305980
1126a62a40
1215222b64
13a82498b
146b5772c
154786b8a
hex30eddfc

51305980 has 48 divisors (see below), whose sum is σ = 118752480. Its totient is φ = 18464000.

The previous prime is 51305977. The next prime is 51306001. The reversal of 51305980 is 8950315.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21066 + ... + 23374.

It is an arithmetic number, because the mean of its divisors is an integer number (2474010).

Almost surely, 251305980 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 51305980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59376240).

51305980 is an abundant number, since it is smaller than the sum of its proper divisors (67446500).

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

51305980 is a wasteful number, since it uses less digits than its factorization.

51305980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 51305980 is about 7162.8192773516. The cubic root of 51305980 is about 371.5831361502.

The spelling of 51305980 in words is "fifty-one million, three hundred five thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 2309 4444 4618 5555 9236 11110 11545 22220 23090 25399 46180 50798 101596 126995 233209 253990 466418 507980 932836 1166045 2332090 2565299 4664180 5130598 10261196 12826495 25652990 51305980