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85459408 = 2417314189
BaseRepresentation
bin1010001100000…
…00000111010000
312221210210021021
411012000013100
5133334200113
612251405224
72055251536
oct506000720
9187723237
1085459408
114426aa11
1224753814
13149222c8
14b4c8156
15778148d
hex51801d0

85459408 has 20 divisors (see below), whose sum is σ = 175318020. Its totient is φ = 40216064.

The previous prime is 85459403. The next prime is 85459427. The reversal of 85459408 is 80495458.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 38837824 + 46621584 = 6232^2 + 6828^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85459403) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 156823 + ... + 157366.

It is an arithmetic number, because the mean of its divisors is an integer number (8765901).

Almost surely, 285459408 is an apocalyptic number.

It is an amenable number.

85459408 is an abundant number, since it is smaller than the sum of its proper divisors (89858612).

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

85459408 is a wasteful number, since it uses less digits than its factorization.

85459408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314214 (or 314208 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The square root of 85459408 is about 9244.4257798957. The cubic root of 85459408 is about 440.4736772128.

The spelling of 85459408 in words is "eighty-five million, four hundred fifty-nine thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 314189 628378 1256756 2513512 5027024 5341213 10682426 21364852 42729704 85459408