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289958200 = 23527207113
BaseRepresentation
bin10001010010000…
…110100100111000
3202012121101212121
4101102012210320
51043212130300
644434451024
710120414120
oct2122064470
9665541777
10289958200
11139745984
1281133a74
13480c31cc
142a71bc80
151a6c881a
hex11486938

289958200 has 48 divisors (see below), whose sum is σ = 770464080. Its totient is φ = 99413760.

The previous prime is 289958189. The next prime is 289958209. The reversal of 289958200 is 2859982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289958209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102157 + ... + 104956.

It is an arithmetic number, because the mean of its divisors is an integer number (16051335).

Almost surely, 2289958200 is an apocalyptic number.

289958200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289958200 is an abundant number, since it is smaller than the sum of its proper divisors (480505880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

289958200 is a wasteful number, since it uses less digits than its factorization.

289958200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207136 (or 207127 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The square root of 289958200 is about 17028.1590314397. The cubic root of 289958200 is about 661.8787911333.

The spelling of 289958200 in words is "two hundred eighty-nine million, nine hundred fifty-eight thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 207113 414226 828452 1035565 1449791 1656904 2071130 2899582 4142260 5177825 5799164 7248955 8284520 10355650 11598328 14497910 20711300 28995820 36244775 41422600 57991640 72489550 144979100 289958200