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258655072 = 2513312647
BaseRepresentation
bin11110110101011…
…00001101100000
3200000201001001111
433122230031200
51012203430242
641355513104
76260350264
oct1732541540
9600631044
10258655072
11123005425
1272758794
1341783050
14264d00a4
1517a93817
hexf6ac360

258655072 has 72 divisors (see below), whose sum is σ = 567535248. Its totient is φ = 115349760.

The previous prime is 258655069. The next prime is 258655081. The reversal of 258655072 is 270556852.

258655072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399453 + ... + 400099.

It is an arithmetic number, because the mean of its divisors is an integer number (7882434).

Almost surely, 2258655072 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 258655072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283767624).

258655072 is an abundant number, since it is smaller than the sum of its proper divisors (308880176).

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

258655072 is a wasteful number, since it uses less digits than its factorization.

258655072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The square root of 258655072 is about 16082.7569775832. The cubic root of 258655072 is about 637.1480128931.

The spelling of 258655072 in words is "two hundred fifty-eight million, six hundred fifty-five thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 647 806 961 992 1294 1612 1922 2588 3224 3844 5176 6448 7688 8411 10352 12493 12896 15376 16822 20057 20704 24986 30752 33644 40114 49972 67288 80228 99944 134576 160456 199888 260741 269152 320912 399776 521482 621767 641824 1042964 1243534 2085928 2487068 4171856 4974136 8082971 8343712 9948272 16165942 19896544 32331884 64663768 129327536 258655072