Search a number
-
+
58466485 = 5711178933
BaseRepresentation
bin1101111100001…
…0000010110101
311002000101221101
43133002002311
5104431411420
65445050101
71306646140
oct337020265
9132011841
1058466485
1130003810
12176b6931
13c160c6c
147a9d057
1551ed60a
hex37c20b5

58466485 has 32 divisors (see below), whose sum is σ = 92627712. Its totient is φ = 34298880.

The previous prime is 58466461. The next prime is 58466491.

58466485 is nontrivially palindromic in base 10.

58466485 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 58466485 - 25 = 58466453 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2079 + ... + 11011.

It is an arithmetic number, because the mean of its divisors is an integer number (2894616).

Almost surely, 258466485 is an apocalyptic number.

58466485 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58466485 is a deficient number, since it is larger than the sum of its proper divisors (34161227).

58466485 is a wasteful number, since it uses less digits than its factorization.

58466485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8973.

The product of its digits is 921600, while the sum is 46.

The square root of 58466485 is about 7646.3380124083. The cubic root of 58466485 is about 388.1226562473.

The spelling of 58466485 in words is "fifty-eight million, four hundred sixty-six thousand, four hundred eighty-five".

Divisors: 1 5 7 11 17 35 55 77 85 119 187 385 595 935 1309 6545 8933 44665 62531 98263 151861 312655 491315 687841 759305 1063027 1670471 3439205 5315135 8352355 11693297 58466485