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85761536 = 29723929
BaseRepresentation
bin1010001110010…
…01111000000000
312222101010201012
411013021320000
5133423332121
612302100052
72060650430
oct507117000
9188333635
1085761536
1144456a03
122487a628
13149c9993
14b5662c0
1577e0c5b
hex51c9e00

85761536 has 40 divisors (see below), whose sum is σ = 195843120. Its totient is φ = 36753408.

The previous prime is 85761517. The next prime is 85761551. The reversal of 85761536 is 63516758.

It is a junction number, because it is equal to n+sod(n) for n = 85761493 and 85761502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8381 + ... + 15548.

It is an arithmetic number, because the mean of its divisors is an integer number (4896078).

Almost surely, 285761536 is an apocalyptic number.

It is an amenable number.

85761536 is an abundant number, since it is smaller than the sum of its proper divisors (110081584).

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

85761536 is an equidigital number, since it uses as much as digits as its factorization.

85761536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23954 (or 23938 counting only the distinct ones).

The product of its digits is 151200, while the sum is 41.

The square root of 85761536 is about 9260.7524532297. The cubic root of 85761536 is about 440.9921413374.

The spelling of 85761536 in words is "eighty-five million, seven hundred sixty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3584 23929 47858 95716 167503 191432 335006 382864 670012 765728 1340024 1531456 2680048 3062912 5360096 6125824 10720192 12251648 21440384 42880768 85761536