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259242440 = 23512495189
BaseRepresentation
bin11110111001110…
…11100111001000
3200001210212202212
433130323213020
51012331224230
641420244252
76265344602
oct1734734710
9601725685
10259242440
11123376756
12729a0688
134192a4c2
1426604172
1517b5c895
hexf73b9c8

259242440 has 32 divisors (see below), whose sum is σ = 583875000. Its totient is φ = 103593984.

The previous prime is 259242421. The next prime is 259242481. The reversal of 259242440 is 44242952.

It can be written as a sum of positive squares in 4 ways, for example, as 227949604 + 31292836 = 15098^2 + 5594^2 .

It is a junction number, because it is equal to n+sod(n) for n = 259242397 and 259242406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47366 + ... + 52554.

Almost surely, 2259242440 is an apocalyptic number.

259242440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259242440 is an abundant number, since it is smaller than the sum of its proper divisors (324632560).

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

259242440 is a wasteful number, since it uses less digits than its factorization.

259242440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6449 (or 6445 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 259242440 is about 16101.0074218976. The cubic root of 259242440 is about 637.6299383988.

The spelling of 259242440 in words is "two hundred fifty-nine million, two hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1249 2498 4996 5189 6245 9992 10378 12490 20756 24980 25945 41512 49960 51890 103780 207560 6481061 12962122 25924244 32405305 51848488 64810610 129621220 259242440