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85382244 = 22322371729
BaseRepresentation
bin1010001011011…
…01010001100100
312221122212102100
411011231101210
5133324212434
612250012100
72054510553
oct505552144
9187585370
1085382244
1144217a42
1224717030
13148c614c
14b4a7d9a
157768699
hex516d464

85382244 has 18 divisors (see below), whose sum is σ = 215827430. Its totient is φ = 28460736.

The previous prime is 85382179. The next prime is 85382281. The reversal of 85382244 is 44228358.

It can be written as a sum of positive squares in only one way, i.e., 83942244 + 1440000 = 9162^2 + 1200^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2371729 = 85382244 / (8 + 5 + 3 + 8 + 2 + 2 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 85382199 and 85382208.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1185829 + ... + 1185900.

Almost surely, 285382244 is an apocalyptic number.

It is an amenable number.

85382244 is an abundant number, since it is smaller than the sum of its proper divisors (130445186).

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

85382244 is a wasteful number, since it uses less digits than its factorization.

85382244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2371739 (or 2371734 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 85382244 is about 9240.2512952841. The cubic root of 85382244 is about 440.3410647574.

The spelling of 85382244 in words is "eighty-five million, three hundred eighty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2371729 4743458 7115187 9486916 14230374 21345561 28460748 42691122 85382244