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51118848 = 2832112017
BaseRepresentation
bin1100001100000…
…0001100000000
310120012002212200
43003000030000
5101041300343
65023353200
71160334354
oct303001400
9116162780
1051118848
1126945390
1215152800
13a78a751
146b09464
15474b4d3
hex30c0300

51118848 has 108 divisors (see below), whose sum is σ = 160866888. Its totient is φ = 15482880.

The previous prime is 51118829. The next prime is 51118849. The reversal of 51118848 is 84881115.

It is a happy number.

It is a super-2 number, since 2×511188482 = 5226273241694208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (51118849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24336 + ... + 26352.

Almost surely, 251118848 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 51118848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80433444).

51118848 is an abundant number, since it is smaller than the sum of its proper divisors (109748040).

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

51118848 is a wasteful number, since it uses less digits than its factorization.

51118848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2033 counting only the distinct ones).

The product of its digits is 10240, while the sum is 36.

The square root of 51118848 is about 7149.7446108235. The cubic root of 51118848 is about 371.1308184588.

The spelling of 51118848 in words is "fifty-one million, one hundred eighteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2017 2112 2304 2816 3168 4034 4224 6051 6336 8068 8448 12102 12672 16136 18153 22187 24204 25344 32272 36306 44374 48408 64544 66561 72612 88748 96816 129088 133122 145224 177496 193632 199683 258176 266244 290448 354992 387264 399366 516352 532488 580896 709984 774528 798732 1064976 1161792 1419968 1549056 1597464 2129952 2323584 2839936 3194928 4259904 4647168 5679872 6389856 8519808 12779712 17039616 25559424 51118848