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85656032 = 2571134763
BaseRepresentation
bin1010001101100…
…00000111100000
312222011202222122
411012300013200
5133411443112
612255523412
72060031020
oct506600740
9188152878
1085656032
1144394710
1224829568
1314990957
14b539a80
1577be872
hex51b01e0

85656032 has 48 divisors (see below), whose sum is σ = 210252672. Its totient is φ = 33371520.

The previous prime is 85656031. The next prime is 85656037. The reversal of 85656032 is 23065658.

It is a junction number, because it is equal to n+sod(n) for n = 85655983 and 85656001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85656031) 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, 14918 + ... + 19845.

It is an arithmetic number, because the mean of its divisors is an integer number (4380264).

Almost surely, 285656032 is an apocalyptic number.

It is an amenable number.

85656032 is an abundant number, since it is smaller than the sum of its proper divisors (124596640).

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

85656032 is a wasteful number, since it uses less digits than its factorization.

85656032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34791 (or 34783 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 85656032 is about 9255.0544028655. The cubic root of 85656032 is about 440.8112306826.

The spelling of 85656032 in words is "eighty-five million, six hundred fifty-six thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 34763 69526 139052 243341 278104 382393 486682 556208 764786 973364 1112416 1529572 1946728 2676751 3059144 3893456 5353502 6118288 7786912 10707004 12236576 21414008 42828016 85656032