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289893825 = 32521399109
BaseRepresentation
bin10001010001110…
…110110111000001
3202012111010120100
4101101312313001
51043203100300
644433233013
710120025334
oct2121666701
9665433510
10289893825
11139701581
1281102769
134809cb10
142a70261b
151a6b4700
hex11476dc1

289893825 has 36 divisors (see below), whose sum is σ = 559178620. Its totient is φ = 142715520.

The previous prime is 289893823. The next prime is 289893827. The reversal of 289893825 is 528398982.

It is an interprime number because it is at equal distance from previous prime (289893823) and next prime (289893827).

It can be written as a sum of positive squares in 6 ways, for example, as 10870209 + 279023616 = 3297^2 + 16704^2 .

It is not a de Polignac number, because 289893825 - 21 = 289893823 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (289893823) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46630 + ... + 52479.

Almost surely, 2289893825 is an apocalyptic number.

289893825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

289893825 is a deficient number, since it is larger than the sum of its proper divisors (269284795).

289893825 is a wasteful number, since it uses less digits than its factorization.

289893825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99138 (or 99130 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 289893825 is about 17026.2686751972. The cubic root of 289893825 is about 661.8298052211.

The spelling of 289893825 in words is "two hundred eighty-nine million, eight hundred ninety-three thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 2925 99109 297327 495545 891981 1288417 1486635 2477725 3865251 4459905 6442085 7433175 11595753 19326255 22299525 32210425 57978765 96631275 289893825