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36064242 = 23217196203
BaseRepresentation
bin1000100110010…
…0101111110010
32111212020211200
42021210233302
533213023432
63324552030
7615353364
oct211445762
974766750
1036064242
11193a2665
12100b2616
1376192b6
144b0ad34
153275a7c
hex2264bf2

36064242 has 48 divisors (see below), whose sum is σ = 87104160. Its totient is φ = 10717056.

The previous prime is 36064241. The next prime is 36064277. The reversal of 36064242 is 24246063.

36064242 is a `hidden beast` number, since 360 + 64 + 242 = 666.

36064242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (36064241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2713 + ... + 8915.

It is an arithmetic number, because the mean of its divisors is an integer number (1814670).

Almost surely, 236064242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36064242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43552080).

36064242 is an abundant number, since it is smaller than the sum of its proper divisors (51039918).

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

36064242 is a wasteful number, since it uses less digits than its factorization.

36064242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6247 (or 6244 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 36064242 is about 6005.3511137984. The cubic root of 36064242 is about 330.3890178133.

The spelling of 36064242 in words is "thirty-six million, sixty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 306 323 342 646 969 1938 2907 5814 6203 12406 18609 37218 55827 105451 111654 117857 210902 235714 316353 353571 632706 707142 949059 1060713 1898118 2003569 2121426 4007138 6010707 12021414 18032121 36064242