Search a number
-
+
505805058 = 232112819091
BaseRepresentation
bin11110001001011…
…111100100000010
31022020202120002200
4132021133210002
52013441230213
6122105054030
715351162213
oct3611374402
91266676080
10505805058
1123a571910
12121487316
1380a38445
144b26740a
152e613273
hex1e25f902

505805058 has 48 divisors (see below), whose sum is σ = 1199925792. Its totient is φ = 152712000.

The previous prime is 505805057. The next prime is 505805077. The reversal of 505805058 is 850508505.

It is not an unprimeable number, because it can be changed into a prime (505805057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51093 + ... + 60183.

It is an arithmetic number, because the mean of its divisors is an integer number (24998454).

Almost surely, 2505805058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505805058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599962896).

505805058 is an abundant number, since it is smaller than the sum of its proper divisors (694120734).

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

505805058 is a wasteful number, since it uses less digits than its factorization.

505805058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9391 (or 9388 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The square root of 505805058 is about 22490.1102264973. The cubic root of 505805058 is about 796.7603663846.

The spelling of 505805058 in words is "five hundred five million, eight hundred five thousand, fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 281 562 843 1686 2529 3091 5058 6182 9091 9273 18182 18546 27273 27819 54546 55638 81819 100001 163638 200002 300003 600006 900009 1800018 2554571 5109142 7663713 15327426 22991139 28100281 45982278 56200562 84300843 168601686 252902529 505805058