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85417375 = 53838233
BaseRepresentation
bin1010001011101…
…01110110011111
312221201122121111
411011311312133
5133331324000
612250442451
72055015151
oct505656637
9187648544
1085417375
114424137a
1224733427
1314909134
14b4b6ad1
157773cba
hex5175d9f

85417375 has 16 divisors (see below), whose sum is σ = 107898336. Its totient is φ = 67502400.

The previous prime is 85417313. The next prime is 85417399. The reversal of 85417375 is 57371458.

It is not a de Polignac number, because 85417375 - 213 = 85409183 is a prime.

It is a super-2 number, since 2×854173752 = 14592255903781250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6259 + ... + 14491.

It is an arithmetic number, because the mean of its divisors is an integer number (6743646).

Almost surely, 285417375 is an apocalyptic number.

85417375 is a deficient number, since it is larger than the sum of its proper divisors (22480961).

85417375 is an equidigital number, since it uses as much as digits as its factorization.

85417375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8331 (or 8321 counting only the distinct ones).

The product of its digits is 117600, while the sum is 40.

The square root of 85417375 is about 9242.1520762212. The cubic root of 85417375 is about 440.4014500710.

The spelling of 85417375 in words is "eighty-five million, four hundred seventeen thousand, three hundred seventy-five".

Divisors: 1 5 25 83 125 415 2075 8233 10375 41165 205825 683339 1029125 3416695 17083475 85417375