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258342816 = 2539727743
BaseRepresentation
bin11110110010111…
…11111110100000
3200000010011201110
433121133332200
51012113432231
641345103320
76254610024
oct1731377640
9600104643
10258342816
11122911866
1272627b40
13416a3b94
142644c384
1517a31046
hexf65ffa0

258342816 has 48 divisors (see below), whose sum is σ = 685165824. Its totient is φ = 85223424.

The previous prime is 258342811. The next prime is 258342827. The reversal of 258342816 is 618243852.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (258342811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4560 + ... + 23183.

It is an arithmetic number, because the mean of its divisors is an integer number (14274288).

Almost surely, 2258342816 is an apocalyptic number.

It is an amenable number.

258342816 is an abundant number, since it is smaller than the sum of its proper divisors (426823008).

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

258342816 is a wasteful number, since it uses less digits than its factorization.

258342816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27853 (or 27845 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 258342816 is about 16073.0462576327. The cubic root of 258342816 is about 636.8915150498.

The spelling of 258342816 in words is "two hundred fifty-eight million, three hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1552 2328 3104 4656 9312 27743 55486 83229 110972 166458 221944 332916 443888 665832 887776 1331664 2663328 2691071 5382142 8073213 10764284 16146426 21528568 32292852 43057136 64585704 86114272 129171408 258342816