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289379025 = 3252131941127
BaseRepresentation
bin10001001111111…
…001001011010001
3202011111222101200
4101033321023101
51043040112100
644414221413
710112452425
oct2117711321
9664458350
10289379025
1113938a821
1280ab4869
1347c4c6c0
142a60ab85
151a611e00
hex113f92d1

289379025 has 144 divisors (see below), whose sum is σ = 606627840. Its totient is φ = 130636800.

The previous prime is 289379021. The next prime is 289379029. The reversal of 289379025 is 520973982.

It is an interprime number because it is at equal distance from previous prime (289379021) and next prime (289379029).

It is not a de Polignac number, because 289379025 - 22 = 289379021 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (289379021) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2278512 + ... + 2278638.

Almost surely, 2289379025 is an apocalyptic number.

289379025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

289379025 is an abundant number, since it is smaller than the sum of its proper divisors (317248815).

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

289379025 is a wasteful number, since it uses less digits than its factorization.

289379025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 289379025 is about 17011.1441414151. The cubic root of 289379025 is about 661.4378089870.

It can be divided in two parts, 2893 and 79025, that added together give a palindrome (81918).

The spelling of 289379025 in words is "two hundred eighty-nine million, three hundred seventy-nine thousand, twenty-five".

Divisors: 1 3 5 9 13 15 19 25 39 41 45 57 65 75 95 117 123 127 171 195 205 225 247 285 325 369 381 475 533 585 615 635 741 779 855 975 1025 1143 1235 1425 1599 1651 1845 1905 2223 2337 2413 2665 2925 3075 3175 3705 3895 4275 4797 4953 5207 5715 6175 7011 7239 7995 8255 9225 9525 10127 11115 11685 12065 13325 14859 15621 18525 19475 21717 23985 24765 26035 28575 30381 31369 35055 36195 39975 41275 46863 50635 55575 58425 60325 67691 74295 78105 91143 94107 98933 108585 119925 123825 130175 151905 156845 175275 180975 203073 234315 253175 282321 296799 338455 371475 390525 455715 470535 494665 542925 609219 759525 784225 890397 1015365 1171575 1286129 1411605 1483995 1692275 2278575 2352675 2473325 3046095 3858387 4451985 5076825 6430645 7058025 7419975 11575161 15230475 19291935 22259925 32153225 57875805 96459675 289379025