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85078296 = 23333071283
BaseRepresentation
bin1010001001000…
…11000100011000
312221002102111000
411010203010120
5133240001141
612235305000
72052103452
oct504430430
9187072430
1085078296
114402a646
12245ab160
131481a9b4
14b4292d2
1577085b6
hex5123118

85078296 has 64 divisors (see below), whose sum is σ = 237283200. Its totient is φ = 28245024.

The previous prime is 85078289. The next prime is 85078297. The reversal of 85078296 is 69287058.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85078297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65671 + ... + 66953.

It is an arithmetic number, because the mean of its divisors is an integer number (3707550).

Almost surely, 285078296 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 85078296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118641600).

85078296 is an abundant number, since it is smaller than the sum of its proper divisors (152204904).

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

85078296 is a wasteful number, since it uses less digits than its factorization.

85078296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 85078296 is about 9223.7896767001. The cubic root of 85078296 is about 439.8179274233.

The spelling of 85078296 in words is "eighty-five million, seventy-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 307 614 921 1228 1283 1842 2456 2566 2763 3684 3849 5132 5526 7368 7698 8289 10264 11052 11547 15396 16578 22104 23094 30792 33156 34641 46188 66312 69282 92376 138564 277128 393881 787762 1181643 1575524 2363286 3151048 3544929 4726572 7089858 9453144 10634787 14179716 21269574 28359432 42539148 85078296