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51438312 = 23326710663
BaseRepresentation
bin1100010000111…
…0001011101000
310120210100002200
43010032023220
5101132011222
65034300200
71163134632
oct304161350
9116710080
1051438312
1127043402
1215287660
13a86cc93
146b8da52
1547b0eac
hex310e2e8

51438312 has 48 divisors (see below), whose sum is σ = 141404640. Its totient is φ = 16888608.

The previous prime is 51438287. The next prime is 51438319. The reversal of 51438312 is 21383415.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (51438319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 508 + ... + 10155.

It is an arithmetic number, because the mean of its divisors is an integer number (2945930).

Almost surely, 251438312 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 51438312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70702320).

51438312 is an abundant number, since it is smaller than the sum of its proper divisors (89966328).

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

51438312 is a wasteful number, since it uses less digits than its factorization.

51438312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10742 (or 10735 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 51438312 is about 7172.0507527485. The cubic root of 51438312 is about 371.9023330144.

The spelling of 51438312 in words is "fifty-one million, four hundred thirty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 804 1206 1608 2412 4824 10663 21326 31989 42652 63978 85304 95967 127956 191934 255912 383868 714421 767736 1428842 2143263 2857684 4286526 5715368 6429789 8573052 12859578 17146104 25719156 51438312