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85892392 = 2337616771
BaseRepresentation
bin1010001111010…
…01110100101000
312222121210012201
411013221310220
5133442024032
612304545544
72062034065
oct507516450
9188553181
1085892392
1144536253
12249222b4
1314a44401
14b59bc6c
1578198e7
hex51e9d28

85892392 has 64 divisors (see below), whose sum is σ = 173024640. Its totient is φ = 39916800.

The previous prime is 85892363. The next prime is 85892399. The reversal of 85892392 is 29329858.

It is not an unprimeable number, because it can be changed into a prime (85892399) 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 15 ways as a sum of consecutive naturals, for example, 1209717 + ... + 1209787.

It is an arithmetic number, because the mean of its divisors is an integer number (2703510).

Almost surely, 285892392 is an apocalyptic number.

It is an amenable number.

85892392 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

85892392 is a wasteful number, since it uses less digits than its factorization.

85892392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 238 counting only the distinct ones).

The product of its digits is 311040, while the sum is 46.

The square root of 85892392 is about 9267.8148449351. The cubic root of 85892392 is about 441.2163177590.

The spelling of 85892392 in words is "eighty-five million, eight hundred ninety-two thousand, three hundred ninety-two".

Divisors: 1 2 4 8 37 61 67 71 74 122 134 142 148 244 268 284 296 488 536 568 2257 2479 2627 4087 4331 4514 4757 4958 5254 8174 8662 9028 9514 9916 10508 16348 17324 18056 19028 19832 21016 32696 34648 38056 151219 160247 176009 290177 302438 320494 352018 580354 604876 640988 704036 1160708 1209752 1281976 1408072 2321416 10736549 21473098 42946196 85892392