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258530076 = 223374997
BaseRepresentation
bin11110110100011…
…01101100011100
3200000110200121000
433122031230130
51012140430301
641353110300
76256320000
oct1732155434
9600420530
10258530076
11122a2a522
12726b8390
134173b19c
142649a700
1517a6b786
hexf68db1c

258530076 has 120 divisors (see below), whose sum is σ = 782711440. Its totient is φ = 73791648.

The previous prime is 258530059. The next prime is 258530081. The reversal of 258530076 is 670035852.

258530076 is a `hidden beast` number, since 2 + 58 + 530 + 0 + 76 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 258530076.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 258810 + ... + 259806.

Almost surely, 2258530076 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 258530076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391355720).

258530076 is an abundant number, since it is smaller than the sum of its proper divisors (524181364).

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

258530076 is an equidigital number, since it uses as much as digits as its factorization.

258530076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 258530076 is about 16078.8704827174. The cubic root of 258530076 is about 637.0453616612.

The spelling of 258530076 in words is "two hundred fifty-eight million, five hundred thirty thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 343 378 441 588 686 756 882 997 1029 1323 1372 1764 1994 2058 2401 2646 2991 3087 3988 4116 4802 5292 5982 6174 6979 7203 8973 9261 9604 11964 12348 13958 14406 17946 18522 20937 21609 26919 27916 28812 35892 37044 41874 43218 48853 53838 62811 64827 83748 86436 97706 107676 125622 129654 146559 188433 195412 251244 259308 293118 341971 376866 439677 586236 683942 753732 879354 1025913 1319031 1367884 1758708 2051826 2393797 2638062 3077739 4103652 4787594 5276124 6155478 7181391 9233217 9575188 12310956 14362782 18466434 21544173 28725564 36932868 43088346 64632519 86176692 129265038 258530076