Search a number
-
+
51635056 = 24112149179
BaseRepresentation
bin1100010011111…
…0001101110000
310121011022222111
43010332031300
5101204310211
65042415104
71164614344
oct304761560
9117138874
1051635056
1127168200
1215361494
13a90b6b5
146c01624
1547ee421
hex313e370

51635056 has 60 divisors (see below), whose sum is σ = 111321000. Its totient is φ = 23182720.

The previous prime is 51635039. The next prime is 51635063. The reversal of 51635056 is 65053615.

51635056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 288375 + ... + 288553.

It is an arithmetic number, because the mean of its divisors is an integer number (1855350).

Almost surely, 251635056 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 51635056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55660500).

51635056 is an abundant number, since it is smaller than the sum of its proper divisors (59685944).

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

51635056 is a wasteful number, since it uses less digits than its factorization.

51635056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

The square root of 51635056 is about 7185.7536835046. The cubic root of 51635056 is about 372.3758870631.

The spelling of 51635056 in words is "fifty-one million, six hundred thirty-five thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 149 176 179 242 298 358 484 596 716 968 1192 1432 1639 1936 1969 2384 2864 3278 3938 6556 7876 13112 15752 18029 21659 26224 26671 31504 36058 43318 53342 72116 86636 106684 144232 173272 213368 288464 293381 346544 426736 586762 1173524 2347048 3227191 4694096 6454382 12908764 25817528 51635056