Search a number
-
+
51686360 = 23511259181
BaseRepresentation
bin1100010100101…
…0101111011000
310121020221100122
43011022233120
5101212430420
65043452412
71165220045
oct305125730
9117227318
1051686360
11271a2800
1215387108
13a928b5b
146c161cc
15480e725
hex314abd8

51686360 has 96 divisors (see below), whose sum is σ = 130712400. Its totient is φ = 18374400.

The previous prime is 51686357. The next prime is 51686389. The reversal of 51686360 is 6368615.

51686360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 51686360.

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 23 ways as a sum of consecutive naturals, for example, 285470 + ... + 285650.

Almost surely, 251686360 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 51686360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65356200).

51686360 is an abundant number, since it is smaller than the sum of its proper divisors (79026040).

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

51686360 is a wasteful number, since it uses less digits than its factorization.

51686360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 51686360 is about 7189.3226384688. The cubic root of 51686360 is about 372.4991757110.

The spelling of 51686360 in words is "fifty-one million, six hundred eighty-six thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 88 110 118 121 181 220 236 242 295 362 440 472 484 590 605 649 724 905 968 1180 1210 1298 1448 1810 1991 2360 2420 2596 3245 3620 3982 4840 5192 6490 7139 7240 7964 9955 10679 12980 14278 15928 19910 21358 21901 25960 28556 35695 39820 42716 43802 53395 57112 71390 79640 85432 87604 106790 109505 117469 142780 175208 213580 219010 234938 285560 427160 438020 469876 587345 876040 939752 1174690 1292159 2349380 2584318 4698760 5168636 6460795 10337272 12921590 25843180 51686360