Search a number
-
+
51087006 = 23217732287
BaseRepresentation
bin1100001011100…
…0011010011110
310120010111012100
43002320122132
5101034241011
65022545530
71160142465
oct302703236
9116114170
1051087006
1126923473
12151382a6
13a7790c9
146adb9dc
154741d56
hex30b869e

51087006 has 48 divisors (see below), whose sum is σ = 118857024. Its totient is φ = 15800832.

The previous prime is 51086947. The next prime is 51087007. The reversal of 51087006 is 60078015.

51087006 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 not an unprimeable number, because it can be changed into a prime (51087007) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21195 + ... + 23481.

It is an arithmetic number, because the mean of its divisors is an integer number (2476188).

Almost surely, 251087006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51087006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59428512).

51087006 is an abundant number, since it is smaller than the sum of its proper divisors (67770018).

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

51087006 is a wasteful number, since it uses less digits than its factorization.

51087006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 51087006 is about 7147.5174711224. The cubic root of 51087006 is about 371.0537431558.

The spelling of 51087006 in words is "fifty-one million, eighty-seven thousand, six".

Divisors: 1 2 3 6 9 17 18 34 51 73 102 146 153 219 306 438 657 1241 1314 2287 2482 3723 4574 6861 7446 11169 13722 20583 22338 38879 41166 77758 116637 166951 233274 333902 349911 500853 699822 1001706 1502559 2838167 3005118 5676334 8514501 17029002 25543503 51087006