Search a number
-
+
58693971 = 377338287
BaseRepresentation
bin1101111111100…
…1100101010011
311002102221222210
43133321211103
5110011201341
65454003203
71311614310
oct337714523
9132387883
1058693971
1130149716
12177a6503
13c21067b
147b1bd07
155245c16
hex37f9953

58693971 has 16 divisors (see below), whose sum is σ = 90665984. Its totient is φ = 33079104.

The previous prime is 58693963. The next prime is 58693981. The reversal of 58693971 is 17939685.

It is not a de Polignac number, because 58693971 - 23 = 58693963 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 58693971.

It is not an unprimeable number, because it can be changed into a prime (58693981) 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, 17611 + ... + 20676.

It is an arithmetic number, because the mean of its divisors is an integer number (5666624).

Almost surely, 258693971 is an apocalyptic number.

58693971 is a deficient number, since it is larger than the sum of its proper divisors (31972013).

58693971 is a wasteful number, since it uses less digits than its factorization.

58693971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38370.

The product of its digits is 408240, while the sum is 48.

The square root of 58693971 is about 7661.1990575888. The cubic root of 58693971 is about 388.6253841817.

The spelling of 58693971 in words is "fifty-eight million, six hundred ninety-three thousand, nine hundred seventy-one".

Divisors: 1 3 7 21 73 219 511 1533 38287 114861 268009 804027 2794951 8384853 19564657 58693971