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85008204 = 2235194603
BaseRepresentation
bin1010001000100…
…01111101001100
312220221212100000
411010101331030
5133230230304
612234004300
72051362221
oct504217514
9186855300
1085008204
1143a91a16
1224576690
13147c4b18
14b40b948
1576e2939
hex5111f4c

85008204 has 72 divisors (see below), whose sum is σ = 234619840. Its totient is φ = 26838864.

The previous prime is 85008199. The next prime is 85008227. The reversal of 85008204 is 40280058.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16167 + ... + 20769.

Almost surely, 285008204 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 85008204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117309920).

85008204 is an abundant number, since it is smaller than the sum of its proper divisors (149611636).

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

85008204 is a wasteful number, since it uses less digits than its factorization.

85008204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4641 (or 4627 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 85008204 is about 9219.9893709266. The cubic root of 85008204 is about 439.6971124826.

The spelling of 85008204 in words is "eighty-five million, eight thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 684 972 1026 1539 2052 3078 4603 4617 6156 9206 9234 13809 18412 18468 27618 41427 55236 82854 87457 124281 165708 174914 248562 262371 349828 372843 497124 524742 745686 787113 1049484 1118529 1491372 1574226 2237058 2361339 3148452 4474116 4722678 7084017 9445356 14168034 21252051 28336068 42504102 85008204