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85062024 = 23321736829
BaseRepresentation
bin1010001000111…
…11000110001000
312221001121011100
411010133012020
5133233441044
612235101400
72052005145
oct504370610
9187047140
1085062024
11440193a3
12245a1860
1314813478
14b4233cc
157703869
hex511f188

85062024 has 48 divisors (see below), whose sum is σ = 231741900. Its totient is φ = 28185984.

The previous prime is 85061989. The next prime is 85062037. The reversal of 85062024 is 42026058.

It can be written as a sum of positive squares in 2 ways, for example, as 79388100 + 5673924 = 8910^2 + 2382^2 .

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 11 ways as a sum of consecutive naturals, for example, 9042 + ... + 15870.

Almost surely, 285062024 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 85062024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115870950).

85062024 is an abundant number, since it is smaller than the sum of its proper divisors (146679876).

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

85062024 is a wasteful number, since it uses less digits than its factorization.

85062024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7014 (or 7007 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 85062024 is about 9222.9075675733. The cubic root of 85062024 is about 439.7898859057.

The spelling of 85062024 in words is "eighty-five million, sixty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 173 346 519 692 1038 1384 1557 2076 3114 4152 6228 6829 12456 13658 20487 27316 40974 54632 61461 81948 122922 163896 245844 491688 1181417 2362834 3544251 4725668 7088502 9451336 10632753 14177004 21265506 28354008 42531012 85062024