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85347648 = 263349391
BaseRepresentation
bin1010001011001…
…00110101000000
312221121002222000
411011210311000
5133322111043
612245144000
72054304651
oct505446500
9187532860
1085347648
11441a3a51
12246bb000
13148b3489
14b499528
15775d2d3
hex5164d40

85347648 has 56 divisors (see below), whose sum is σ = 250911360. Its totient is φ = 28448640.

The previous prime is 85347643. The next prime is 85347673. The reversal of 85347648 is 84674358.

85347648 is a `hidden beast` number, since 8 + 534 + 76 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85347643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22968 + ... + 26423.

It is an arithmetic number, because the mean of its divisors is an integer number (4480560).

Almost surely, 285347648 is an apocalyptic number.

It is an amenable number.

85347648 is an abundant number, since it is smaller than the sum of its proper divisors (165563712).

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

85347648 is a wasteful number, since it uses less digits than its factorization.

85347648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49412 (or 49396 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 85347648 is about 9238.3790786046. The cubic root of 85347648 is about 440.2815828449.

The spelling of 85347648 in words is "eighty-five million, three hundred forty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 49391 98782 148173 197564 296346 395128 444519 592692 790256 889038 1185384 1333557 1580512 1778076 2370768 2667114 3161024 3556152 4741536 5334228 7112304 9483072 10668456 14224608 21336912 28449216 42673824 85347648