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51157040 = 2451161953
BaseRepresentation
bin1100001100100…
…1100000110000
310120021001021012
43003021200300
5101044011130
65024250052
71160553614
oct303114060
9116231235
1051157040
1126971050
1215170928
13a7a1c4c
146b19344
154757995
hex30c9830

51157040 has 80 divisors (see below), whose sum is σ = 132018336. Its totient is φ = 18278400.

The previous prime is 51157019. The next prime is 51157049. The reversal of 51157040 is 4075115.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 51156997 and 51157015.

It is not an unprimeable number, because it can be changed into a prime (51157049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53204 + ... + 54156.

Almost surely, 251157040 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 51157040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66009168).

51157040 is an abundant number, since it is smaller than the sum of its proper divisors (80861296).

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

51157040 is a wasteful number, since it uses less digits than its factorization.

51157040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 51157040 is about 7152.4149767753. The cubic root of 51157040 is about 371.2232220782.

The spelling of 51157040 in words is "fifty-one million, one hundred fifty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 61 80 88 110 122 176 220 244 305 440 488 610 671 880 953 976 1220 1342 1906 2440 2684 3355 3812 4765 4880 5368 6710 7624 9530 10483 10736 13420 15248 19060 20966 26840 38120 41932 52415 53680 58133 76240 83864 104830 116266 167728 209660 232532 290665 419320 465064 581330 639463 838640 930128 1162660 1278926 2325320 2557852 3197315 4650640 5115704 6394630 10231408 12789260 25578520 51157040