Search a number
-
+
289123301 = 1729586457
BaseRepresentation
bin10001001110111…
…010101111100101
3202011000222121102
4101032322233211
51043003421201
644404525445
710110336035
oct2116725745
9664028542
10289123301
11139225685
12809b0885
1347b9019c
142a5818c5
151a5b126b
hex113babe5

289123301 has 8 divisors (see below), whose sum is σ = 316687320. Its totient is φ = 262732288.

The previous prime is 289123283. The next prime is 289123313. The reversal of 289123301 is 103321982.

It can be written as a sum of positive squares in 4 ways, for example, as 7756225 + 281367076 = 2785^2 + 16774^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-289123301 is a prime.

It is a super-2 number, since 2×2891233012 = 167184566362273202, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289123801) 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 7 ways as a sum of consecutive naturals, for example, 292736 + ... + 293721.

It is an arithmetic number, because the mean of its divisors is an integer number (39585915).

Almost surely, 2289123301 is an apocalyptic number.

It is an amenable number.

289123301 is a deficient number, since it is larger than the sum of its proper divisors (27564019).

289123301 is a wasteful number, since it uses less digits than its factorization.

289123301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586503.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 289123301 is about 17003.6261132736. The cubic root of 289123301 is about 661.2429142218.

The spelling of 289123301 in words is "two hundred eighty-nine million, one hundred twenty-three thousand, three hundred one".

Divisors: 1 17 29 493 586457 9969769 17007253 289123301