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259129842 = 231011093923
BaseRepresentation
bin11110111001000…
…00000111110010
3200001121011022120
433130200013302
51012314123332
641414015110
76264365406
oct1734400762
9601534276
10259129842
111232aa0a4
1272947496
13418bb18a
14265b5106
1517b3932c
hexf7201f2

259129842 has 32 divisors (see below), whose sum is σ = 528327360. Its totient is φ = 84715200.

The previous prime is 259129841. The next prime is 259129853. The reversal of 259129842 is 248921952.

It is a happy number.

259129842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 259129794 and 259129803.

It is not an unprimeable number, because it can be changed into a prime (259129841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64093 + ... + 68015.

It is an arithmetic number, because the mean of its divisors is an integer number (16510230).

Almost surely, 2259129842 is an apocalyptic number.

259129842 is an abundant number, since it is smaller than the sum of its proper divisors (269197518).

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

259129842 is a wasteful number, since it uses less digits than its factorization.

259129842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4138.

The product of its digits is 103680, while the sum is 42.

The square root of 259129842 is about 16097.5104286346. The cubic root of 259129842 is about 637.5376100841.

The spelling of 259129842 in words is "two hundred fifty-nine million, one hundred twenty-nine thousand, eight hundred forty-two".

Divisors: 1 2 3 6 101 109 202 218 303 327 606 654 3923 7846 11009 11769 22018 23538 33027 66054 396223 427607 792446 855214 1188669 1282821 2377338 2565642 43188307 86376614 129564921 259129842