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85734099 = 33111915193
BaseRepresentation
bin1010001110000…
…11001011010011
312222022202002000
411013003023103
5133421442344
612301325043
72060504433
oct507031323
9188282060
1085734099
1144438330
1224866783
13149ba349
14b55a2c3
1577d7a69
hex51c32d3

85734099 has 32 divisors (see below), whose sum is σ = 145862400. Its totient is φ = 49222080.

The previous prime is 85734091. The next prime is 85734101. The reversal of 85734099 is 99043758.

It is not a de Polignac number, because 85734099 - 23 = 85734091 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85734091) 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 31 ways as a sum of consecutive naturals, for example, 1954 + ... + 13239.

It is an arithmetic number, because the mean of its divisors is an integer number (4558200).

Almost surely, 285734099 is an apocalyptic number.

85734099 is a deficient number, since it is larger than the sum of its proper divisors (60128301).

85734099 is a wasteful number, since it uses less digits than its factorization.

85734099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15232 (or 15226 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 85734099 is about 9259.2709756222. The cubic root of 85734099 is about 440.9451086291.

The spelling of 85734099 in words is "eighty-five million, seven hundred thirty-four thousand, ninety-nine".

Divisors: 1 3 9 11 19 27 33 57 99 171 209 297 513 627 1881 5643 15193 45579 136737 167123 288667 410211 501369 866001 1504107 2598003 3175337 4512321 7794009 9526011 28578033 85734099