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85540384 = 252673137
BaseRepresentation
bin1010001100100…
…11111000100000
312221221220100101
411012103320200
5133344243014
612253232144
72056036606
oct506237040
9187856311
1085540384
1144315836
1224792654
1314950117
14b509876
15779a474
hex5193e20

85540384 has 12 divisors (see below), whose sum is σ = 168407694. Its totient is φ = 42770176.

The previous prime is 85540363. The next prime is 85540387. The reversal of 85540384 is 48304558.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 85155984 + 384400 = 9228^2 + 620^2 .

It is not an unprimeable number, because it can be changed into a prime (85540387) 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 as a sum of consecutive naturals, namely, 1336537 + ... + 1336600.

Almost surely, 285540384 is an apocalyptic number.

It is an amenable number.

85540384 is a deficient number, since it is larger than the sum of its proper divisors (82867310).

85540384 is a wasteful number, since it uses less digits than its factorization.

85540384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673147 (or 2673139 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 85540384 is about 9248.8044632806. The cubic root of 85540384 is about 440.6127550811.

The spelling of 85540384 in words is "eighty-five million, five hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 2673137 5346274 10692548 21385096 42770192 85540384