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258248430 = 232511260857
BaseRepresentation
bin11110110010010…
…00111011101110
3122222221101020200
433121020323232
51012102422210
641343054330
76254034606
oct1731107356
9588841220
10258248430
11122857960
12725a13a6
134166cc2b
1426425c06
1517a130c0
hexf648eee

258248430 has 48 divisors (see below), whose sum is σ = 732489264. Its totient is φ = 62605440.

The previous prime is 258248429. The next prime is 258248443. The reversal of 258248430 is 34842852.

258248430 is a `hidden beast` number, since 2 + 582 + 48 + 4 + 30 = 666.

It is a Curzon number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 129439 + ... + 131418.

It is an arithmetic number, because the mean of its divisors is an integer number (15260193).

Almost surely, 2258248430 is an apocalyptic number.

258248430 is an abundant number, since it is smaller than the sum of its proper divisors (474240834).

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

258248430 is a wasteful number, since it uses less digits than its factorization.

258248430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260881 (or 260878 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 258248430 is about 16070.1098316097. The cubic root of 258248430 is about 636.8139424587.

The spelling of 258248430 in words is "two hundred fifty-eight million, two hundred forty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 260857 521714 782571 1304285 1565142 2347713 2608570 2869427 3912855 4695426 5738854 7825710 8608281 11738565 14347135 17216562 23477130 25824843 28694270 43041405 51649686 86082810 129124215 258248430