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85269258 = 23241432687
BaseRepresentation
bin1010001010100…
…01101100001010
312221110010102200
411011101230022
5133312104013
612243341030
72053530264
oct505215412
9187403380
1085269258
1144150068
1224681776
13148868a9
14b478b34
157744e73
hex5151b0a

85269258 has 48 divisors (see below), whose sum is σ = 193729536. Its totient is φ = 27074880.

The previous prime is 85269221. The next prime is 85269293. The reversal of 85269258 is 85296258.

It is a super-4 number, since 4×852692584 (a number of 33 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30391 + ... + 33077.

It is an arithmetic number, because the mean of its divisors is an integer number (4036032).

Almost surely, 285269258 is an apocalyptic number.

85269258 is an abundant number, since it is smaller than the sum of its proper divisors (108460278).

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

85269258 is a wasteful number, since it uses less digits than its factorization.

85269258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2776 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 85269258 is about 9234.1354765890. The cubic root of 85269258 is about 440.1467451305.

Subtracting 85269258 from its reverse (85296258), we obtain a cube (27000 = 303).

It can be divided in two parts, 852 and 69258, that multiplied together give a triangular number (59007816 = T10863).

The spelling of 85269258 in words is "eighty-five million, two hundred sixty-nine thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 18 41 43 82 86 123 129 246 258 369 387 738 774 1763 2687 3526 5289 5374 8061 10578 15867 16122 24183 31734 48366 110167 115541 220334 231082 330501 346623 661002 693246 991503 1039869 1983006 2079738 4737181 9474362 14211543 28423086 42634629 85269258