Search a number
-
+
58693096 = 23711151631
BaseRepresentation
bin1101111111100…
…1010111101000
311002102220210101
43133321113220
5110011134341
65453555144
71311611620
oct337712750
9132386711
1058693096
1130148aa0
12177a5ab4
13c210157
147b1b880
155245831
hex37f95e8

58693096 has 64 divisors (see below), whose sum is σ = 138332160. Its totient is φ = 22680000.

The previous prime is 58693093. The next prime is 58693127. The reversal of 58693096 is 69039685.

It is not an unprimeable number, because it can be changed into a prime (58693093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92701 + ... + 93331.

It is an arithmetic number, because the mean of its divisors is an integer number (2161440).

Almost surely, 258693096 is an apocalyptic number.

58693096 is a gapful number since it is divisible by the number (56) 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 58693096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69166080).

58693096 is an abundant number, since it is smaller than the sum of its proper divisors (79639064).

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

58693096 is a wasteful number, since it uses less digits than its factorization.

58693096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The square root of 58693096 is about 7661.1419514326. The cubic root of 58693096 is about 388.6234529845.

The spelling of 58693096 in words is "fifty-eight million, six hundred ninety-three thousand, ninety-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 151 154 302 308 604 616 631 1057 1208 1262 1661 2114 2524 3322 4228 4417 5048 6644 6941 8456 8834 11627 13288 13882 17668 23254 27764 35336 46508 48587 55528 93016 95281 97174 190562 194348 381124 388696 666967 762248 1048091 1333934 2096182 2667868 4192364 5335736 7336637 8384728 14673274 29346548 58693096