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58090000 = 245437157
BaseRepresentation
bin1101110110011…
…0001000010000
311001022021111111
43131212020100
5104332340000
65433023104
71303520413
oct335461020
9131267444
1058090000
112a876971
1217554a94
13c05b7a7
147a01b7a
155176cba
hex3766210

58090000 has 100 divisors (see below), whose sum is σ = 145362844. Its totient is φ = 22464000.

The previous prime is 58089953. The next prime is 58090027. The reversal of 58090000 is 9085.

It can be written as a sum of positive squares in 10 ways, for example, as 38340864 + 19749136 = 6192^2 + 4444^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 369922 + ... + 370078.

Almost surely, 258090000 is an apocalyptic number.

58090000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72681422).

58090000 is an abundant number, since it is smaller than the sum of its proper divisors (87272844).

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

58090000 is a wasteful number, since it uses less digits than its factorization.

58090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 58090000 is about 7621.6796049165. The cubic root of 58090000 is about 387.2877783483.

Adding to 58090000 its reverse (9085), we get a palindrome (58099085).

The spelling of 58090000 in words is "fifty-eight million, ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 157 185 200 250 296 314 370 400 500 592 625 628 740 785 925 1000 1250 1256 1480 1570 1850 2000 2500 2512 2960 3140 3700 3925 4625 5000 5809 6280 7400 7850 9250 10000 11618 12560 14800 15700 18500 19625 23125 23236 29045 31400 37000 39250 46250 46472 58090 62800 74000 78500 92500 92944 98125 116180 145225 157000 185000 196250 232360 290450 314000 370000 392500 464720 580900 726125 785000 1161800 1452250 1570000 2323600 2904500 3630625 5809000 7261250 11618000 14522500 29045000 58090000