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85725312 = 273223243
BaseRepresentation
bin1010001110000…
…01000010000000
312222022022000120
411013001002000
5133421202222
612301220240
72060440011
oct507010200
9188268016
1085725312
1144431772
1224861680
13149b634a
14b557008
1577d515c
hex51c1080

85725312 has 32 divisors (see below), whose sum is σ = 227708880. Its totient is φ = 28574976.

The previous prime is 85725257. The next prime is 85725319. The reversal of 85725312 is 21352758.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (85725319) 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, 111238 + ... + 112005.

Almost surely, 285725312 is an apocalyptic number.

It is an amenable number.

85725312 is an abundant number, since it is smaller than the sum of its proper divisors (141983568).

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

85725312 is a wasteful number, since it uses less digits than its factorization.

85725312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223260 (or 223248 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 85725312 is about 9258.7964660640. The cubic root of 85725312 is about 440.9300437673.

The spelling of 85725312 in words is "eighty-five million, seven hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 223243 446486 669729 892972 1339458 1785944 2678916 3571888 5357832 7143776 10715664 14287552 21431328 28575104 42862656 85725312