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58830500 = 2253971213
BaseRepresentation
bin1110000001101…
…0111010100100
311002200220021102
43200122322210
5110030034000
65500535232
71313023331
oct340327244
9132626242
1058830500
1130232253
1217851518
13c25a861
147b55988
1552713d5
hex381aea4

58830500 has 48 divisors (see below), whose sum is σ = 129917424. Its totient is φ = 23270400.

The previous prime is 58830491. The next prime is 58830503. The reversal of 58830500 is 503885.

It can be written as a sum of positive squares in 8 ways, for example, as 37356544 + 21473956 = 6112^2 + 4634^2 .

It is a super-2 number, since 2×588305002 = 6922055460500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (58830503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47894 + ... + 49106.

It is an arithmetic number, because the mean of its divisors is an integer number (2706613).

Almost surely, 258830500 is an apocalyptic number.

58830500 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 58830500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64958712).

58830500 is an abundant number, since it is smaller than the sum of its proper divisors (71086924).

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

58830500 is a wasteful number, since it uses less digits than its factorization.

58830500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 58830500 is about 7670.1043017680. The cubic root of 58830500 is about 388.9264801153.

The spelling of 58830500 in words is "fifty-eight million, eight hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 125 194 250 388 485 500 970 1213 1940 2425 2426 4850 4852 6065 9700 12125 12130 24250 24260 30325 48500 60650 117661 121300 151625 235322 303250 470644 588305 606500 1176610 2353220 2941525 5883050 11766100 14707625 29415250 58830500