Search a number
-
+
58450000 = 24557167
BaseRepresentation
bin1101111011111…
…0000001010000
311001222120022211
43132332001100
5104430400000
65444441504
71306550110
oct336760120
9131876284
1058450000
112aaa2394
12176a9294
13c1565cb
147a97040
1551e87ba
hex37be050

58450000 has 120 divisors (see below), whose sum is σ = 162739584. Its totient is φ = 19920000.

The previous prime is 58449991. The next prime is 58450019. The reversal of 58450000 is 5485.

It is a happy number.

58450000 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 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, 349917 + ... + 350083.

Almost surely, 258450000 is an apocalyptic number.

58450000 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 58450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81369792).

58450000 is an abundant number, since it is smaller than the sum of its proper divisors (104289584).

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

58450000 is an equidigital number, since it uses as much as digits as its factorization.

58450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 58450000 is about 7645.2599694190. The cubic root of 58450000 is about 388.0861749286.

Adding to 58450000 its reverse (5485), we get a palindrome (58455485).

It can be divided in two parts, 5 and 8450000, that multiplied together give a square (42250000 = 65002).

The spelling of 58450000 in words is "fifty-eight million, four hundred fifty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 167 175 200 250 280 334 350 400 500 560 625 668 700 835 875 1000 1169 1250 1336 1400 1670 1750 2000 2338 2500 2672 2800 3125 3340 3500 4175 4375 4676 5000 5845 6250 6680 7000 8350 8750 9352 10000 11690 12500 13360 14000 16700 17500 18704 20875 21875 23380 25000 29225 33400 35000 41750 43750 46760 50000 58450 66800 70000 83500 87500 93520 104375 116900 146125 167000 175000 208750 233800 292250 334000 350000 417500 467600 521875 584500 730625 835000 1043750 1169000 1461250 1670000 2087500 2338000 2922500 3653125 4175000 5845000 7306250 8350000 11690000 14612500 29225000 58450000