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51930144 = 2532725759
BaseRepresentation
bin1100011000011…
…0010000100000
310121201022202200
43012012100200
5101243231034
65053013200
71200253560
oct306062040
9117638680
1051930144
1127349982
1215484200
13a9b2ac6
146c7ada0
15485ba99
hex3186420

51930144 has 72 divisors (see below), whose sum is σ = 168779520. Its totient is φ = 14836608.

The previous prime is 51930127. The next prime is 51930157. The reversal of 51930144 is 44103915.

51930144 is a `hidden beast` number, since 519 + 3 + 0 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10864 + ... + 14895.

It is an arithmetic number, because the mean of its divisors is an integer number (2344160).

Almost surely, 251930144 is an apocalyptic number.

It is an amenable number.

51930144 is an abundant number, since it is smaller than the sum of its proper divisors (116849376).

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

51930144 is a wasteful number, since it uses less digits than its factorization.

51930144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25782 (or 25771 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 51930144 is about 7206.2572810024. The cubic root of 51930144 is about 373.0839008459.

The spelling of 51930144 in words is "fifty-one million, nine hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 25759 51518 77277 103036 154554 180313 206072 231831 309108 360626 412144 463662 540939 618216 721252 824288 927324 1081878 1236432 1442504 1622817 1854648 2163756 2472864 2885008 3245634 3709296 4327512 5770016 6491268 7418592 8655024 12982536 17310048 25965072 51930144