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85862320 = 2451073279
BaseRepresentation
bin1010001111000…
…10011110110000
312222120020221221
411013202132300
5133440043240
612304154424
72061550315
oct507423660
9188506857
1085862320
11445156a5
1224908a14
1314a3380b
14b590d0c
157810a4a
hex51e27b0

85862320 has 20 divisors (see below), whose sum is σ = 199630080. Its totient is φ = 34344896.

The previous prime is 85862299. The next prime is 85862321. The reversal of 85862320 is 2326858.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85862321) 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 3 ways as a sum of consecutive naturals, for example, 536560 + ... + 536719.

It is an arithmetic number, because the mean of its divisors is an integer number (9981504).

Almost surely, 285862320 is an apocalyptic number.

85862320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85862320 is an abundant number, since it is smaller than the sum of its proper divisors (113767760).

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

85862320 is a wasteful number, since it uses less digits than its factorization.

85862320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073292 (or 1073286 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 85862320 is about 9266.1923139982. The cubic root of 85862320 is about 441.1648199660.

The spelling of 85862320 in words is "eighty-five million, eight hundred sixty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1073279 2146558 4293116 5366395 8586232 10732790 17172464 21465580 42931160 85862320