Search a number
-
+
289120425 = 35211231859
BaseRepresentation
bin10001001110111…
…010000010101001
3202011000211122220
4101032322002221
51043003323200
644404504253
710110324456
oct2116720251
9664024586
10289120425
11139223500
12809ab089
1347b8ba99
142a58082d
151a5b04a0
hex113ba0a9

289120425 has 36 divisors (see below), whose sum is σ = 525435120. Its totient is φ = 140175200.

The previous prime is 289120423. The next prime is 289120463. The reversal of 289120425 is 524021982.

It is not a de Polignac number, because 289120425 - 21 = 289120423 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (289120421) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 6855 + ... + 25004.

It is an arithmetic number, because the mean of its divisors is an integer number (14595420).

Almost surely, 2289120425 is an apocalyptic number.

289120425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

289120425 is a deficient number, since it is larger than the sum of its proper divisors (236314695).

289120425 is a wasteful number, since it uses less digits than its factorization.

289120425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31894 (or 31878 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 289120425 is about 17003.5415428669. The cubic root of 289120425 is about 661.2407216845.

The spelling of 289120425 in words is "two hundred eighty-nine million, one hundred twenty thousand, four hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 121 165 275 363 605 825 1815 3025 9075 31859 95577 159295 350449 477885 796475 1051347 1752245 2389425 3854939 5256735 8761225 11564817 19274695 26283675 57824085 96373475 289120425