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51168000 = 283531341
BaseRepresentation
bin1100001100110…
…0001100000000
310120021121022010
43003030030000
5101044334000
65024412520
71160630562
oct303141400
9116247263
1051168000
1126979304
1215177140
13a7a6c30
146b1d332
15475ad50
hex30cc300

51168000 has 288 divisors, whose sum is σ = 187492032. Its totient is φ = 12288000.

The previous prime is 51167999. The next prime is 51168017. The reversal of 51168000 is 86115.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1247980 + ... + 1248020.

It is an arithmetic number, because the mean of its divisors is an integer number (651014).

Almost surely, 251168000 is an apocalyptic number.

51168000 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 51168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93746016).

51168000 is an abundant number, since it is smaller than the sum of its proper divisors (136324032).

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

51168000 is a wasteful number, since it uses less digits than its factorization.

51168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 51168000 is about 7153.1811105270. The cubic root of 51168000 is about 371.2497307529.

The spelling of 51168000 in words is "fifty-one million, one hundred sixty-eight thousand".