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42085300 = 2252420853
BaseRepresentation
bin1010000010001…
…0101110110100
32221012011011211
42200202232310
541233212200
64102011204
71020501445
oct240425664
987164154
1042085300
1121835344
1212116b04
138946a5a
1458372cc
153a64aba
hex2822bb4

42085300 has 18 divisors (see below), whose sum is σ = 91325318. Its totient is φ = 16834080.

The previous prime is 42085291. The next prime is 42085301. The reversal of 42085300 is 358024.

It can be written as a sum of positive squares in 3 ways, for example, as 7086244 + 34999056 = 2662^2 + 5916^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42085301) 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 5 ways as a sum of consecutive naturals, for example, 210327 + ... + 210526.

Almost surely, 242085300 is an apocalyptic number.

It is an amenable number.

42085300 is an abundant number, since it is smaller than the sum of its proper divisors (49240018).

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

42085300 is a wasteful number, since it uses less digits than its factorization.

42085300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420867 (or 420860 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 42085300 is about 6487.3183982290. The cubic root of 42085300 is about 347.8378268456.

The spelling of 42085300 in words is "forty-two million, eighty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 420853 841706 1683412 2104265 4208530 8417060 10521325 21042650 42085300