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85338736 = 2474491697
BaseRepresentation
bin1010001011000…
…10101001110000
312221120122201221
411011202221300
5133321314421
612245034424
72054236660
oct505425160
9187518657
1085338736
114419828a
12246b5a14
13148ac3c2
14b4961a0
15775a841
hex5162a70

85338736 has 40 divisors (see below), whose sum is σ = 189496800. Its totient is φ = 36470784.

The previous prime is 85338719. The next prime is 85338749. The reversal of 85338736 is 63783358.

It is a junction number, because it is equal to n+sod(n) for n = 85338692 and 85338701.

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 7 ways as a sum of consecutive naturals, for example, 49440 + ... + 51136.

It is an arithmetic number, because the mean of its divisors is an integer number (4737420).

Almost surely, 285338736 is an apocalyptic number.

It is an amenable number.

85338736 is an abundant number, since it is smaller than the sum of its proper divisors (104158064).

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

85338736 is a wasteful number, since it uses less digits than its factorization.

85338736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2155 counting only the distinct ones).

The product of its digits is 362880, while the sum is 43.

The square root of 85338736 is about 9237.8967303169. The cubic root of 85338736 is about 440.2662575796.

The spelling of 85338736 in words is "eighty-five million, three hundred thirty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 449 898 1697 1796 3143 3394 3592 6286 6788 7184 11879 12572 13576 23758 25144 27152 47516 50288 95032 190064 761953 1523906 3047812 5333671 6095624 10667342 12191248 21334684 42669368 85338736