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85493296 = 2471037411
BaseRepresentation
bin1010001100010…
…00011000110000
312221212111202101
411012020120300
5133341241141
612252230144
72055452410
oct506103060
9187774671
1085493296
1144293419
122476b354
1314934865
14b4d6640
15778b531
hex5188630

85493296 has 40 divisors (see below), whose sum is σ = 191170304. Its totient is φ = 36279360.

The previous prime is 85493281. The next prime is 85493297. The reversal of 85493296 is 69239458.

It is not an unprimeable number, because it can be changed into a prime (85493297) 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, 7831 + ... + 15241.

Almost surely, 285493296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85493296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95585152).

85493296 is an abundant number, since it is smaller than the sum of its proper divisors (105677008).

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

85493296 is a wasteful number, since it uses less digits than its factorization.

85493296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7529 (or 7523 counting only the distinct ones).

The product of its digits is 466560, while the sum is 46.

The square root of 85493296 is about 9246.2584865447. The cubic root of 85493296 is about 440.5318912029.

The spelling of 85493296 in words is "eighty-five million, four hundred ninety-three thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 103 112 206 412 721 824 1442 1648 2884 5768 7411 11536 14822 29644 51877 59288 103754 118576 207508 415016 763333 830032 1526666 3053332 5343331 6106664 10686662 12213328 21373324 42746648 85493296