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85304016 = 243479403
BaseRepresentation
bin1010001010110…
…10001011010000
312221111220010000
411011122023100
5133314212031
612244210000
72054033520
oct505321320
9187456100
1085304016
1144174196
1224699900
1314899665
14b487680
1577503e6
hex515a2d0

85304016 has 100 divisors (see below), whose sum is σ = 282195232. Its totient is φ = 24369984.

The previous prime is 85304003. The next prime is 85304027. The reversal of 85304016 is 61040358.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4371 + ... + 13773.

Almost surely, 285304016 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 85304016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141097616).

85304016 is an abundant number, since it is smaller than the sum of its proper divisors (196891216).

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

85304016 is a wasteful number, since it uses less digits than its factorization.

85304016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9430 (or 9415 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 85304016 is about 9236.0173235004. The cubic root of 85304016 is about 440.2065421495.

The spelling of 85304016 in words is "eighty-five million, three hundred four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 9403 18806 28209 37612 56418 65821 75224 84627 112836 131642 150448 169254 197463 225672 253881 263284 338508 394926 451344 507762 526568 592389 677016 761643 789852 1015524 1053136 1184778 1354032 1523286 1579704 1777167 2031048 2369556 3046572 3159408 3554334 4062096 4739112 5331501 6093144 7108668 9478224 10663002 12186288 14217336 21326004 28434672 42652008 85304016