Search a number
-
+
51286818 = 23112411723
BaseRepresentation
bin1100001110100…
…1001100100010
310120111122021210
43003221030202
5101112134233
65031130550
71161634152
oct303511442
9116448253
1051286818
1126a4a600
1215213a56
13a81903b
146b50762
154781163
hex30e9322

51286818 has 48 divisors (see below), whose sum is σ = 115563168. Its totient is φ = 15153600.

The previous prime is 51286817. The next prime is 51286861. The reversal of 51286818 is 81868215.

It is not an unprimeable number, because it can be changed into a prime (51286811) 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 23 ways as a sum of consecutive naturals, for example, 28905 + ... + 30627.

It is an arithmetic number, because the mean of its divisors is an integer number (2407566).

Almost surely, 251286818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51286818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57781584).

51286818 is an abundant number, since it is smaller than the sum of its proper divisors (64276350).

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

51286818 is a wasteful number, since it uses less digits than its factorization.

51286818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1780 counting only the distinct ones).

The product of its digits is 30720, while the sum is 39.

The square root of 51286818 is about 7161.4815506290. The cubic root of 51286818 is about 371.5368701809.

The spelling of 51286818 in words is "fifty-one million, two hundred eighty-six thousand, eight hundred eighteen".

Divisors: 1 2 3 6 11 22 33 41 66 82 121 123 242 246 363 451 726 902 1353 1723 2706 3446 4961 5169 9922 10338 14883 18953 29766 37906 56859 70643 113718 141286 208483 211929 416966 423858 625449 777073 1250898 1554146 2331219 4662438 8547803 17095606 25643409 51286818