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258752934 = 2331121992
BaseRepresentation
bin11110110110001…
…00000110100110
3200000220000022000
433123010012212
51012220043214
641401550130
76261235506
oct1733040646
9600800260
10258752934
11123071a00
12727a5346
13417b875b
1426517a06
1517ab2809
hexf6c41a6

258752934 has 72 divisors (see below), whose sum is σ = 635223960. Its totient is φ = 78015960.

The previous prime is 258752929. The next prime is 258752941. The reversal of 258752934 is 439257852.

258752934 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2587529343 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 258752934.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1300167 + ... + 1300365.

It is an arithmetic number, because the mean of its divisors is an integer number (8822555).

Almost surely, 2258752934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258752934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317611980).

258752934 is an abundant number, since it is smaller than the sum of its proper divisors (376471026).

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

258752934 is a wasteful number, since it uses less digits than its factorization.

258752934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 215 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 258752934 is about 16085.7991408571. The cubic root of 258752934 is about 637.2283576245.

The spelling of 258752934 in words is "two hundred fifty-eight million, seven hundred fifty-two thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 199 242 297 363 398 594 597 726 1089 1194 1791 2178 2189 3267 3582 4378 5373 6534 6567 10746 13134 19701 24079 39402 39601 48158 59103 72237 79202 118206 118803 144474 216711 237606 356409 433422 435611 650133 712818 871222 1069227 1300266 1306833 2138454 2613666 3920499 4791721 7840998 9583442 11761497 14375163 23522994 28750326 43125489 86250978 129376467 258752934