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42445152 = 2532293503
BaseRepresentation
bin1010000111101…
…0100101100000
32221212102210200
42201322211200
541331221102
64113425200
71023530541
oct241724540
987772720
1042445152
1121a60742
121226b200
138a41799
1458cc4c8
153ad651c
hex287a960

42445152 has 72 divisors (see below), whose sum is σ = 121356144. Its totient is φ = 14072064.

The previous prime is 42445093. The next prime is 42445153. The reversal of 42445152 is 25154424.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42445153) 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, 84133 + ... + 84635.

It is an arithmetic number, because the mean of its divisors is an integer number (1685502).

Almost surely, 242445152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42445152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60678072).

42445152 is an abundant number, since it is smaller than the sum of its proper divisors (78910992).

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

42445152 is a wasteful number, since it uses less digits than its factorization.

42445152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 801 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The square root of 42445152 is about 6514.9943975417. The cubic root of 42445152 is about 348.8264148275.

Adding to 42445152 its reverse (25154424), we get a palindrome (67599576).

The spelling of 42445152 in words is "forty-two million, four hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 293 503 586 879 1006 1172 1509 1758 2012 2344 2637 3018 3516 4024 4527 4688 5274 6036 7032 8048 9054 9376 10548 12072 14064 16096 18108 21096 24144 28128 36216 42192 48288 72432 84384 144864 147379 294758 442137 589516 884274 1179032 1326411 1768548 2358064 2652822 3537096 4716128 5305644 7074192 10611288 14148384 21222576 42445152