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51268014 = 23272371571
BaseRepresentation
bin1100001110010…
…0100110101110
310120110200111100
43003210212232
5101111034024
65030503530
71161525300
oct303444656
9116420440
1051268014
1126a37466
1215204ba6
13a810605
146b47970
15477a7c9
hex30e49ae

51268014 has 72 divisors (see below), whose sum is σ = 132793128. Its totient is φ = 14243040.

The previous prime is 51268001. The next prime is 51268043. The reversal of 51268014 is 41086215.

51268014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31849 + ... + 33419.

It is an arithmetic number, because the mean of its divisors is an integer number (1844349).

Almost surely, 251268014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51268014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66396564).

51268014 is an abundant number, since it is smaller than the sum of its proper divisors (81525114).

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

51268014 is a wasteful number, since it uses less digits than its factorization.

51268014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 51268014 is about 7160.1685734346. The cubic root of 51268014 is about 371.4914573855.

The spelling of 51268014 in words is "fifty-one million, two hundred sixty-eight thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 49 63 74 98 111 126 147 222 259 294 333 441 518 666 777 882 1554 1571 1813 2331 3142 3626 4662 4713 5439 9426 10878 10997 14139 16317 21994 28278 32634 32991 58127 65982 76979 98973 116254 153958 174381 197946 230937 348762 406889 461874 523143 692811 813778 1046286 1220667 1385622 2441334 2848223 3662001 5696446 7324002 8544669 17089338 25634007 51268014