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51330688 = 27419781
BaseRepresentation
bin1100001111001…
…1111010000000
310120120212110121
43003303322000
5101120040223
65032110024
71162206103
oct303637200
9116525417
1051330688
1126a7a562
1215235314
13a832cb6
146b6273a
15478e15d
hex30f3e80

51330688 has 32 divisors (see below), whose sum is σ = 104765220. Its totient is φ = 25036800.

The previous prime is 51330683. The next prime is 51330739. The reversal of 51330688 is 88603315.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 46348864 + 4981824 = 6808^2 + 2232^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (51330683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 358 + ... + 10138.

Almost surely, 251330688 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 51330688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52382610).

51330688 is an abundant number, since it is smaller than the sum of its proper divisors (53434532).

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

51330688 is an equidigital number, since it uses as much as digits as its factorization.

51330688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9836 (or 9824 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 51330688 is about 7164.5438096225. The cubic root of 51330688 is about 371.6427757394.

The spelling of 51330688 in words is "fifty-one million, three hundred thirty thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 5248 9781 19562 39124 78248 156496 312992 401021 625984 802042 1251968 1604084 3208168 6416336 12832672 25665344 51330688