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36125442 = 23217118057
BaseRepresentation
bin1000100111001…
…1101100000010
32111222100210100
42021303230002
533222003232
63330143230
7616026663
oct211635402
974870710
1036125442
1119434641
1210121b16
13763b102
144b2536a
153288c7c
hex2273b02

36125442 has 24 divisors (see below), whose sum is σ = 82876716. Its totient is φ = 11333376.

The previous prime is 36125429. The next prime is 36125443. The reversal of 36125442 is 24452163.

36125442 is a `hidden beast` number, since 3 + 612 + 5 + 4 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31236921 + 4888521 = 5589^2 + 2211^2 .

It is not an unprimeable number, because it can be changed into a prime (36125443) 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 11 ways as a sum of consecutive naturals, for example, 58723 + ... + 59334.

Almost surely, 236125442 is an apocalyptic number.

36125442 is an abundant number, since it is smaller than the sum of its proper divisors (46751274).

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

36125442 is a wasteful number, since it uses less digits than its factorization.

36125442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118082 (or 118079 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 36125442 is about 6010.4444095258. Note that the first 4 decimals coincide. The cubic root of 36125442 is about 330.5757991426.

The spelling of 36125442 in words is "thirty-six million, one hundred twenty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 118057 236114 354171 708342 1062513 2006969 2125026 4013938 6020907 12041814 18062721 36125442