Search a number
-
+
58193982 = 2327113347
BaseRepresentation
bin1101110111111…
…1100000111110
311001111120010200
43131333200332
5104344201412
65435144330
71304432520
oct335774076
9131446120
1058193982
112a938000
12175a50a6
13c096c12
147a2ba10
1551979dc
hex377f83e

58193982 has 96 divisors (see below), whose sum is σ = 158955264. Its totient is φ = 15071760.

The previous prime is 58193977. The next prime is 58194023. The reversal of 58193982 is 28939185.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167533 + ... + 167879.

It is an arithmetic number, because the mean of its divisors is an integer number (1655784).

Almost surely, 258193982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58193982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79477632).

58193982 is an abundant number, since it is smaller than the sum of its proper divisors (100761282).

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

58193982 is a wasteful number, since it uses less digits than its factorization.

58193982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 370 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 58193982 is about 7628.4980173033. The cubic root of 58193982 is about 387.5187243120.

It can be divided in two parts, 5819 and 3982, that added together give a square (9801 = 992).

The spelling of 58193982 in words is "fifty-eight million, one hundred ninety-three thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 347 363 462 693 694 726 847 1041 1089 1331 1386 1694 2082 2178 2429 2541 2662 3123 3817 3993 4858 5082 6246 7287 7623 7634 7986 9317 11451 11979 14574 15246 18634 21861 22902 23958 26719 27951 34353 41987 43722 53438 55902 68706 80157 83853 83974 125961 160314 167706 240471 251922 293909 377883 461857 480942 587818 755766 881727 923714 1385571 1763454 2645181 2771142 3232999 4156713 5290362 6465998 8313426 9698997 19397994 29096991 58193982