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85597000 = 235385597
BaseRepresentation
bin1010001101000…
…01101101001000
312222001210000021
411012201231020
5133403101000
612254350224
72056363636
oct506415510
9188053007
1085597000
1144354325
12247bb374
131496cb18
14b522356
1577ac11a
hex51a1b48

85597000 has 32 divisors (see below), whose sum is σ = 200299320. Its totient is φ = 34238400.

The previous prime is 85596967. The next prime is 85597013. The reversal of 85597000 is 79558.

It can be written as a sum of positive squares in 4 ways, for example, as 4848804 + 80748196 = 2202^2 + 8986^2 .

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 7 ways as a sum of consecutive naturals, for example, 41799 + ... + 43798.

Almost surely, 285597000 is an apocalyptic number.

It is an amenable number.

85597000 is an abundant number, since it is smaller than the sum of its proper divisors (114702320).

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

85597000 is a wasteful number, since it uses less digits than its factorization.

85597000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85618 (or 85604 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 34.

The square root of 85597000 is about 9251.8646769178. The cubic root of 85597000 is about 440.7099420434.

The spelling of 85597000 in words is "eighty-five million, five hundred ninety-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 85597 171194 342388 427985 684776 855970 1711940 2139925 3423880 4279850 8559700 10699625 17119400 21399250 42798500 85597000