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36287442 = 23243173271
BaseRepresentation
bin1000101001101…
…1001111010010
32112021121000100
42022123033102
533242144232
63333433230
7620303202
oct212331722
975247010
1036287442
1119535324
121019b816
137696a79
144b68402
1532bbc7c
hex229b3d2

36287442 has 48 divisors (see below), whose sum is σ = 81214848. Its totient is φ = 11702880.

The previous prime is 36287441. The next prime is 36287467. The reversal of 36287442 is 24478263.

36287442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 36287397 and 36287406.

It is not an unprimeable number, because it can be changed into a prime (36287441) 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, 133767 + ... + 134037.

It is an arithmetic number, because the mean of its divisors is an integer number (1691976).

Almost surely, 236287442 is an apocalyptic number.

36287442 is an abundant number, since it is smaller than the sum of its proper divisors (44927406).

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

36287442 is a wasteful number, since it uses less digits than its factorization.

36287442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 492 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 36287442 is about 6023.9058757587. The cubic root of 36287442 is about 331.0692041997.

The spelling of 36287442 in words is "thirty-six million, two hundred eighty-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 43 86 129 173 258 271 346 387 519 542 774 813 1038 1557 1626 2439 3114 4878 7439 11653 14878 22317 23306 34959 44634 46883 66951 69918 93766 104877 133902 140649 209754 281298 421947 843894 2015969 4031938 6047907 12095814 18143721 36287442