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85351296 = 273222269
BaseRepresentation
bin1010001011001…
…01101110000000
312221121021222010
411011211232000
5133322220141
612245212520
72054321412
oct505455600
9187537863
1085351296
11441a6768
1224701140
13148b5034
14b49a9b2
15775e416
hex5165b80

85351296 has 32 divisors (see below), whose sum is σ = 226715400. Its totient is φ = 28450304.

The previous prime is 85351291. The next prime is 85351333. The reversal of 85351296 is 69215358.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85351291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 110751 + ... + 111518.

Almost surely, 285351296 is an apocalyptic number.

It is an amenable number.

85351296 is an abundant number, since it is smaller than the sum of its proper divisors (141364104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85351296 is a wasteful number, since it uses less digits than its factorization.

85351296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222286 (or 222274 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 85351296 is about 9238.5765137276. The cubic root of 85351296 is about 440.2878557158.

The spelling of 85351296 in words is "eighty-five million, three hundred fifty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 222269 444538 666807 889076 1333614 1778152 2667228 3556304 5334456 7112608 10668912 14225216 21337824 28450432 42675648 85351296