Search a number
-
+
83029 = 791051
BaseRepresentation
bin10100010001010101
311012220011
4110101111
510124104
61440221
7464032
oct242125
9135804
1083029
1157421
1240071
132ba3b
1422389
1519904
hex14455

83029 has 4 divisors (see below), whose sum is σ = 84160. Its totient is φ = 81900.

The previous prime is 83023. The next prime is 83047. The reversal of 83029 is 92038.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 83029 - 25 = 82997 is a prime.

It is a pancake number, because a pancake can be divided into 83029 parts by 407 straight cuts.

It is a Duffinian number.

It is a plaindrome in base 14 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 447 + ... + 604.

It is an arithmetic number, because the mean of its divisors is an integer number (21040).

283029 is an apocalyptic number.

It is an amenable number.

83029 is a deficient number, since it is larger than the sum of its proper divisors (1131).

83029 is a wasteful number, since it uses less digits than its factorization.

83029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 83029 is about 288.1475316570. The cubic root of 83029 is about 43.6257864463.

Subtracting 83029 from its reverse (92038), we obtain a palindrome (9009).

The spelling of 83029 in words is "eighty-three thousand, twenty-nine".

Divisors: 1 79 1051 83029