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85233257 = 1710094969
BaseRepresentation
bin1010001010010…
…00111001101001
312221101022001022
411011020321221
5133304431012
612242502225
72053320314
oct505107151
9187338038
1085233257
114412600a
1224664975
13148733a5
14b46997b
157739472
hex5148e69

85233257 has 8 divisors (see below), whose sum is σ = 90354600. Its totient is φ = 80123904.

The previous prime is 85233251. The next prime is 85233277. The reversal of 85233257 is 75233258.

It can be written as a sum of positive squares in 4 ways, for example, as 6574096 + 78659161 = 2564^2 + 8869^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85233257 - 216 = 85167721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85233251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14669 + ... + 19637.

It is an arithmetic number, because the mean of its divisors is an integer number (11294325).

Almost surely, 285233257 is an apocalyptic number.

It is an amenable number.

85233257 is a deficient number, since it is larger than the sum of its proper divisors (5121343).

85233257 is a wasteful number, since it uses less digits than its factorization.

85233257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5995.

The product of its digits is 50400, while the sum is 35.

The square root of 85233257 is about 9232.1859275038. The cubic root of 85233257 is about 440.0847925428.

Subtracting from 85233257 its reverse (75233258), we obtain a palindrome (9999999).

The spelling of 85233257 in words is "eighty-five million, two hundred thirty-three thousand, two hundred fifty-seven".

Divisors: 1 17 1009 4969 17153 84473 5013721 85233257