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85322448 = 2432592517
BaseRepresentation
bin1010001010111…
…10101011010000
312221112211101200
411011132223100
5133320304243
612244431200
72054141331
oct505365320
9187484350
1085322448
1144187022
12246a8500
13148a4b73
14b490288
157755ad3
hex515ead0

85322448 has 30 divisors (see below), whose sum is σ = 238784754. Its totient is φ = 28440768.

The previous prime is 85322443. The next prime is 85322459. The reversal of 85322448 is 84422358.

It can be written as a sum of positive squares in only one way, i.e., 85155984 + 166464 = 9228^2 + 408^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85322441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 296115 + ... + 296402.

Almost surely, 285322448 is an apocalyptic number.

It is an amenable number.

85322448 is an abundant number, since it is smaller than the sum of its proper divisors (153462306).

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

85322448 is a wasteful number, since it uses less digits than its factorization.

85322448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592531 (or 592522 counting only the distinct ones).

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

The square root of 85322448 is about 9237.0151022936. The cubic root of 85322448 is about 440.2382456301.

The spelling of 85322448 in words is "eighty-five million, three hundred twenty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 592517 1185034 1777551 2370068 3555102 4740136 5332653 7110204 9480272 10665306 14220408 21330612 28440816 42661224 85322448