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85336820 = 2254266841
BaseRepresentation
bin1010001011000…
…10001011110100
312221120120002222
411011202023310
5133321234240
612245021512
72054231252
oct505421364
9187516088
1085336820
11441968a8
12246b4898
13148ab57a
14b4955d2
157759eb5
hex51622f4

85336820 has 12 divisors (see below), whose sum is σ = 179207364. Its totient is φ = 34134720.

The previous prime is 85336807. The next prime is 85336829. The reversal of 85336820 is 2863358.

It can be written as a sum of positive squares in 2 ways, for example, as 29116816 + 56220004 = 5396^2 + 7498^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85336829) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2133401 + ... + 2133440.

It is an arithmetic number, because the mean of its divisors is an integer number (14933947).

Almost surely, 285336820 is an apocalyptic number.

It is an amenable number.

85336820 is an abundant number, since it is smaller than the sum of its proper divisors (93870544).

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

85336820 is a wasteful number, since it uses less digits than its factorization.

85336820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4266850 (or 4266848 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 85336820 is about 9237.7930264755. The cubic root of 85336820 is about 440.2629626458.

It can be divided in two parts, 853 and 36820, that added together give a palindrome (37673).

The spelling of 85336820 in words is "eighty-five million, three hundred thirty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 4266841 8533682 17067364 21334205 42668410 85336820