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85834376 = 2337409709
BaseRepresentation
bin1010001110110…
…11101010001000
312222111211121222
411013123222020
5133433200001
612303421212
72061402665
oct507335210
9188454558
1085834376
11444a6701
12248b4808
1314a23b94
14b584a6c
15780761b
hex51dba88

85834376 has 32 divisors (see below), whose sum is σ = 165927000. Its totient is φ = 41596416.

The previous prime is 85834373. The next prime is 85834391. The reversal of 85834376 is 67343858.

It can be written as a sum of positive squares in 4 ways, for example, as 84456100 + 1378276 = 9190^2 + 1174^2 .

It is not an unprimeable number, because it can be changed into a prime (85834373) 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 7 ways as a sum of consecutive naturals, for example, 120710 + ... + 121418.

Almost surely, 285834376 is an apocalyptic number.

It is an amenable number.

85834376 is a deficient number, since it is larger than the sum of its proper divisors (80092624).

85834376 is a wasteful number, since it uses less digits than its factorization.

85834376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1157 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The square root of 85834376 is about 9264.6843443260. The cubic root of 85834376 is about 441.1169555580.

The spelling of 85834376 in words is "eighty-five million, eight hundred thirty-four thousand, three hundred seventy-six".

Divisors: 1 2 4 8 37 74 148 296 409 709 818 1418 1636 2836 3272 5672 15133 26233 30266 52466 60532 104932 121064 209864 289981 579962 1159924 2319848 10729297 21458594 42917188 85834376