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258060852 = 22327320899
BaseRepresentation
bin11110110000110…
…11001000110100
3122222120211221100
433120123020310
51012030421402
641335050100
76252324000
oct1730331064
9588524840
10258060852
11122739a35
1272510930
134160573a
14263b7700
15179c771c
hexf61b234

258060852 has 72 divisors (see below), whose sum is σ = 760760000. Its totient is φ = 73728144.

The previous prime is 258060841. The next prime is 258060863.

258060852 is nontrivially palindromic in base 10.

258060852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (258060841) and next prime (258060863).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1899 + ... + 22797.

Almost surely, 2258060852 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 258060852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380380000).

258060852 is an abundant number, since it is smaller than the sum of its proper divisors (502699148).

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

258060852 is a wasteful number, since it uses less digits than its factorization.

258060852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20930 (or 20911 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 258060852 is about 16064.2725325487. The cubic root of 258060852 is about 636.6597224587.

The spelling of 258060852 in words is "two hundred fifty-eight million, sixty thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 3087 4116 6174 12348 20899 41798 62697 83596 125394 146293 188091 250788 292586 376182 438879 585172 752364 877758 1024051 1316637 1755516 2048102 2633274 3072153 4096204 5266548 6144306 7168357 9216459 12288612 14336714 18432918 21505071 28673428 36865836 43010142 64515213 86020284 129030426 258060852