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58378086 = 23213317787
BaseRepresentation
bin1101111010110…
…0011101100110
311001211220200100
43132230131212
5104421044321
65443124530
71306130334
oct336543546
9131756610
1058378086
112aa53358
1217673746
13c12c960
147a78b54
1551d2326
hex37ac766

58378086 has 48 divisors (see below), whose sum is σ = 136818864. Its totient is φ = 17883072.

The previous prime is 58378057. The next prime is 58378087. The reversal of 58378086 is 68087385.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58378087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73785 + ... + 74571.

It is an arithmetic number, because the mean of its divisors is an integer number (2850393).

Almost surely, 258378086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58378086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68409432).

58378086 is an abundant number, since it is smaller than the sum of its proper divisors (78440778).

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

58378086 is a wasteful number, since it uses less digits than its factorization.

58378086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 58378086 is about 7640.5553463083. Note that the first 3 decimals coincide. The cubic root of 58378086 is about 387.9269489070.

The spelling of 58378086 in words is "fifty-eight million, three hundred seventy-eight thousand, eighty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 317 634 787 951 1574 1902 2361 2853 4121 4722 5706 7083 8242 10231 12363 14166 20462 24726 30693 37089 61386 74178 92079 184158 249479 498958 748437 1496874 2245311 3243227 4490622 6486454 9729681 19459362 29189043 58378086