Search a number
-
+
58008468 = 22372923813
BaseRepresentation
bin1101110101001…
…0001110010100
311001011010122210
43131102032110
5104322232333
65431153420
71303030620
oct335221624
9131133583
1058008468
112a820691
1217515870
13c03064b
1479c0180
15515ca63
hex3752394

58008468 has 48 divisors (see below), whose sum is σ = 160030080. Its totient is φ = 16001664.

The previous prime is 58008443. The next prime is 58008469. The reversal of 58008468 is 86480085.

58008468 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 not an unprimeable number, because it can be changed into a prime (58008469) 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 15 ways as a sum of consecutive naturals, for example, 9471 + ... + 14342.

It is an arithmetic number, because the mean of its divisors is an integer number (3333960).

Almost surely, 258008468 is an apocalyptic number.

58008468 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

58008468 is an abundant number, since it is smaller than the sum of its proper divisors (102021612).

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

58008468 is a wasteful number, since it uses less digits than its factorization.

58008468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23856 (or 23854 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 58008468 is about 7616.3290370099. The cubic root of 58008468 is about 387.1065014124.

The spelling of 58008468 in words is "fifty-eight million, eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 2436 23813 47626 71439 95252 142878 166691 285756 333382 500073 666764 690577 1000146 1381154 2000292 2071731 2762308 4143462 4834039 8286924 9668078 14502117 19336156 29004234 58008468