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58314450 = 2352439041
BaseRepresentation
bin1101111001110…
…0111011010010
311001201200101110
43132130323102
5104412030300
65441514150
71305443655
oct336347322
9131650343
1058314450
112aa0a567
1217642956
13c1099bc
147a5d89c
1551bd550
hex379ced2

58314450 has 48 divisors (see below), whose sum is σ = 147999456. Its totient is φ = 15187200.

The previous prime is 58314449. The next prime is 58314467. The reversal of 58314450 is 5441385.

It is a super-3 number, since 3×583144503 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1930 + ... + 10970.

It is an arithmetic number, because the mean of its divisors is an integer number (3083322).

Almost surely, 258314450 is an apocalyptic number.

58314450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 58314450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73999728).

58314450 is an abundant number, since it is smaller than the sum of its proper divisors (89685006).

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

58314450 is a wasteful number, since it uses less digits than its factorization.

58314450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9099 (or 9094 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 58314450 is about 7636.3898538511. The cubic root of 58314450 is about 387.7859422594.

The spelling of 58314450 in words is "fifty-eight million, three hundred fourteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 43 50 75 86 129 150 215 258 430 645 1075 1290 2150 3225 6450 9041 18082 27123 45205 54246 90410 135615 226025 271230 388763 452050 678075 777526 1166289 1356150 1943815 2332578 3887630 5831445 9719075 11662890 19438150 29157225 58314450