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85017216 = 273221399
BaseRepresentation
bin1010001000101…
…00001010000000
312220222022200210
411010110022000
5133231022331
612234114120
72051430414
oct504241200
9186868623
1085017216
1143a98769
122457b940
13147c8c5b
14b410d44
1576e5446
hex5114280

85017216 has 32 divisors (see below), whose sum is σ = 225828000. Its totient is φ = 28338944.

The previous prime is 85017211. The next prime is 85017239. The reversal of 85017216 is 61271058.

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 (85017211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 110316 + ... + 111083.

It is an arithmetic number, because the mean of its divisors is an integer number (7057125).

Almost surely, 285017216 is an apocalyptic number.

It is an amenable number.

85017216 is an abundant number, since it is smaller than the sum of its proper divisors (140810784).

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

85017216 is a wasteful number, since it uses less digits than its factorization.

85017216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221416 (or 221404 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 85017216 is about 9220.4780787115. The cubic root of 85017216 is about 439.7126498471.

The spelling of 85017216 in words is "eighty-five million, seventeen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 221399 442798 664197 885596 1328394 1771192 2656788 3542384 5313576 7084768 10627152 14169536 21254304 28339072 42508608 85017216