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85020894 = 2337376079
BaseRepresentation
bin1010001000101…
…01000011011110
312220222111202000
411010111003132
5133231132034
612234143130
72051444220
oct504250336
9186874660
1085020894
1143aa0502
1224581aa6
13147ca82a
14b412410
1576e6599
hex51150de

85020894 has 64 divisors (see below), whose sum is σ = 221798400. Its totient is φ = 23631264.

The previous prime is 85020853. The next prime is 85020907. The reversal of 85020894 is 49802058.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10947 + ... + 17025.

It is an arithmetic number, because the mean of its divisors is an integer number (3465600).

Almost surely, 285020894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85020894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110899200).

85020894 is an abundant number, since it is smaller than the sum of its proper divisors (136777506).

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

85020894 is a wasteful number, since it uses less digits than its factorization.

85020894 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6134 (or 6128 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 85020894 is about 9220.6775239133. The cubic root of 85020894 is about 439.7189906797.

The spelling of 85020894 in words is "eighty-five million, twenty thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 111 126 189 222 259 333 378 518 666 777 999 1554 1998 2331 4662 6079 6993 12158 13986 18237 36474 42553 54711 85106 109422 127659 164133 224923 255318 328266 382977 449846 674769 765954 1148931 1349538 1574461 2024307 2297862 3148922 4048614 4723383 6072921 9446766 12145842 14170149 28340298 42510447 85020894