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85558512 = 24313314423
BaseRepresentation
bin1010001100110…
…00010011110000
312221222211012210
411012120103300
5133400333022
612253452120
72056143504
oct506302360
9187884183
1085558512
1144328416
12247a1040
1314958450
14b512304
1577a0a0c
hex51984f0

85558512 has 80 divisors (see below), whose sum is σ = 245762048. Its totient is φ = 25470720.

The previous prime is 85558511. The next prime is 85558523. The reversal of 85558512 is 21585558.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85558511) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17133 + ... + 21555.

Almost surely, 285558512 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 85558512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122881024).

85558512 is an abundant number, since it is smaller than the sum of its proper divisors (160203536).

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

85558512 is a wasteful number, since it uses less digits than its factorization.

85558512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4478 (or 4472 counting only the distinct ones).

The product of its digits is 80000, while the sum is 39.

The square root of 85558512 is about 9249.7844299205. The cubic root of 85558512 is about 440.6438782516.

The spelling of 85558512 in words is "eighty-five million, five hundred fifty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4423 4836 6448 8846 9672 13269 17692 19344 26538 35384 53076 57499 70768 106152 114998 137113 172497 212304 229996 274226 344994 411339 459992 548452 689988 822678 919984 1096904 1379976 1645356 1782469 2193808 2759952 3290712 3564938 5347407 6581424 7129876 10694814 14259752 21389628 28519504 42779256 85558512