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258082812 = 2232133117789
BaseRepresentation
bin11110110001000…
…00011111111100
3122222121222001200
433120200133330
51012032122222
641335335500
76252445011
oct1730403774
9588558050
10258082812
11122754489
1272521590
1341612730
14263c1708
15179cdeac
hexf6207fc

258082812 has 72 divisors (see below), whose sum is σ = 725262720. Its totient is φ = 76844160.

The previous prime is 258082787. The next prime is 258082817. The reversal of 258082812 is 218280852.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258082817) 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, 5614 + ... + 23402.

Almost surely, 2258082812 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258082812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362631360).

258082812 is an abundant number, since it is smaller than the sum of its proper divisors (467179908).

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

258082812 is a wasteful number, since it uses less digits than its factorization.

258082812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17843 (or 17838 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 258082812 is about 16064.9560223488. The cubic root of 258082812 is about 636.6777810559.

The spelling of 258082812 in words is "two hundred fifty-eight million, eighty-two thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 3627 4836 7254 14508 17789 35578 53367 71156 106734 160101 213468 231257 320202 462514 551459 640404 693771 925028 1102918 1387542 1654377 2081313 2205836 2775084 3308754 4162626 4963131 6617508 7168967 8325252 9926262 14337934 19852524 21506901 28675868 43013802 64520703 86027604 129041406 258082812