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42025216 = 28167983
BaseRepresentation
bin1010000001010…
…0000100000000
32221002002202111
42200110010000
541224301331
64100425104
71020131332
oct240240400
987062674
1042025216
11217a4192
12120a8194
1389255bc
14581d452
153a51db1
hex2814100

42025216 has 36 divisors (see below), whose sum is σ = 84474432. Its totient is φ = 20865536.

The previous prime is 42025199. The next prime is 42025223. The reversal of 42025216 is 61252024.

It is a super-2 number, since 2×420252162 = 3532237559693312, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42261 + ... + 43243.

It is an arithmetic number, because the mean of its divisors is an integer number (2346512).

Almost surely, 242025216 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 42025216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42237216).

42025216 is an abundant number, since it is smaller than the sum of its proper divisors (42449216).

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

42025216 is an equidigital number, since it uses as much as digits as its factorization.

42025216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1152 counting only the distinct ones).

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

The square root of 42025216 is about 6482.6858631280. The cubic root of 42025216 is about 347.6722152444.

The spelling of 42025216 in words is "forty-two million, twenty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 167 256 334 668 983 1336 1966 2672 3932 5344 7864 10688 15728 21376 31456 42752 62912 125824 164161 251648 328322 656644 1313288 2626576 5253152 10506304 21012608 42025216