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258883812 = 2232112922543
BaseRepresentation
bin11110110111001…
…00000011100100
3200001010122211100
433123210003210
51012233240222
641404440100
76262322205
oct1733440344
9601118740
10258883812
11123151270
1272849030
13418331b5
142654d5ac
1517adb4ac
hexf6e40e4

258883812 has 72 divisors (see below), whose sum is σ = 738541440. Its totient is φ = 75741120.

The previous prime is 258883811. The next prime is 258883819. The reversal of 258883812 is 218388852.

258883812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (258883811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213 + ... + 22755.

It is an arithmetic number, because the mean of its divisors is an integer number (10257520).

Almost surely, 2258883812 is an apocalyptic number.

258883812 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258883812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369270720).

258883812 is an abundant number, since it is smaller than the sum of its proper divisors (479657628).

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

258883812 is a wasteful number, since it uses less digits than its factorization.

258883812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22593 (or 22588 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The square root of 258883812 is about 16089.8667489821. The cubic root of 258883812 is about 637.3357768454.

The spelling of 258883812 in words is "two hundred fifty-eight million, eight hundred eighty-three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1914 2871 3828 5742 11484 22543 45086 67629 90172 135258 202887 247973 270516 405774 495946 653747 743919 811548 991892 1307494 1487838 1961241 2231757 2614988 2975676 3922482 4463514 5883723 7191217 7844964 8927028 11767446 14382434 21573651 23534892 28764868 43147302 64720953 86294604 129441906 258883812