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85023952 = 2413408769
BaseRepresentation
bin1010001000101…
…01110011010000
312220222122221021
411010111303100
5133231231302
612234205224
72051456146
oct504256320
9186878837
1085023952
1143aa2832
1224583814
13147cc040
14b413596
1576e7437
hex5115cd0

85023952 has 20 divisors (see below), whose sum is σ = 177406180. Its totient is φ = 39241728.

The previous prime is 85023949. The next prime is 85023959. The reversal of 85023952 is 25932058.

It can be written as a sum of positive squares in 2 ways, for example, as 34386496 + 50637456 = 5864^2 + 7116^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85023959) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 204177 + ... + 204592.

It is an arithmetic number, because the mean of its divisors is an integer number (8870309).

Almost surely, 285023952 is an apocalyptic number.

It is an amenable number.

85023952 is an abundant number, since it is smaller than the sum of its proper divisors (92382228).

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

85023952 is a wasteful number, since it uses less digits than its factorization.

85023952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408790 (or 408784 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 85023952 is about 9220.8433453779. The cubic root of 85023952 is about 439.7242624997.

The spelling of 85023952 in words is "eighty-five million, twenty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 408769 817538 1635076 3270152 5313997 6540304 10627994 21255988 42511976 85023952