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51163640 = 235113312
BaseRepresentation
bin1100001100101…
…1000111111000
310120021101022122
43003023013320
5101044214030
65024340412
71160612063
oct303130770
9116241278
1051163640
1126976000
1215174708
13a7a4c58
146b1b8da
1547598e5
hex30cb1f8

51163640 has 96 divisors (see below), whose sum is σ = 130837680. Its totient is φ = 18004800.

The previous prime is 51163573. The next prime is 51163643. The reversal of 51163640 is 4636115.

51163640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51163643) 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, 1650425 + ... + 1650455.

Almost surely, 251163640 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 51163640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65418840).

51163640 is an abundant number, since it is smaller than the sum of its proper divisors (79674040).

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

51163640 is a wasteful number, since it uses less digits than its factorization.

51163640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 51163640 is about 7152.8763445204. The cubic root of 51163640 is about 371.2391857847.

Adding to 51163640 its reverse (4636115), we get a palindrome (55799755).

The spelling of 51163640 in words is "fifty-one million, one hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 121 124 155 220 242 248 310 341 440 484 605 620 682 961 968 1210 1240 1331 1364 1705 1922 2420 2662 2728 3410 3751 3844 4805 4840 5324 6655 6820 7502 7688 9610 10571 10648 13310 13640 15004 18755 19220 21142 26620 30008 37510 38440 41261 42284 52855 53240 75020 82522 84568 105710 116281 150040 165044 206305 211420 232562 330088 412610 422840 465124 581405 825220 930248 1162810 1279091 1650440 2325620 2558182 4651240 5116364 6395455 10232728 12790910 25581820 51163640