Search a number
-
+
58741384 = 23135310657
BaseRepresentation
bin1110000000010…
…1001010001000
311002112101000211
43200011022020
5110014211014
65455010504
71312202452
oct340051210
9132471024
1058741384
11301812a9
1217809a34
13c229120
147b312d2
155254cc4
hex3805288

58741384 has 32 divisors (see below), whose sum is σ = 120861720. Its totient is φ = 26597376.

The previous prime is 58741367. The next prime is 58741387. The reversal of 58741384 is 48314785.

It can be written as a sum of positive squares in 4 ways, for example, as 31472100 + 27269284 = 5610^2 + 5222^2 .

It is a super-3 number, since 3×587413843 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (58741387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184 + ... + 10840.

Almost surely, 258741384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58741384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60430860).

58741384 is an abundant number, since it is smaller than the sum of its proper divisors (62120336).

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

58741384 is a wasteful number, since it uses less digits than its factorization.

58741384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10729 (or 10725 counting only the distinct ones).

The product of its digits is 107520, while the sum is 40.

The square root of 58741384 is about 7664.2927919019. The cubic root of 58741384 is about 388.7299999016.

The spelling of 58741384 in words is "fifty-eight million, seven hundred forty-one thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 26 52 53 104 106 212 424 689 1378 2756 5512 10657 21314 42628 85256 138541 277082 554164 564821 1108328 1129642 2259284 4518568 7342673 14685346 29370692 58741384