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42190984 = 2311895387
BaseRepresentation
bin1010000011110…
…0100010001000
32221101112011001
42200330202020
541300102414
64104144344
71021421533
oct240744210
987345131
1042190984
11218a7790
12121680b4
138982ba4
145863a1a
153a86074
hex283c888

42190984 has 32 divisors (see below), whose sum is σ = 87285600. Its totient is φ = 18958720.

The previous prime is 42190979. The next prime is 42190987. The reversal of 42190984 is 48909124.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42190987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5139 + ... + 10525.

It is an arithmetic number, because the mean of its divisors is an integer number (2727675).

Almost surely, 242190984 is an apocalyptic number.

42190984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42190984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43642800).

42190984 is an abundant number, since it is smaller than the sum of its proper divisors (45094616).

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

42190984 is a wasteful number, since it uses less digits than its factorization.

42190984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5493 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 42190984 is about 6495.4587212914. The cubic root of 42190984 is about 348.1287452471.

The spelling of 42190984 in words is "forty-two million, one hundred ninety thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 22 44 88 89 178 356 712 979 1958 3916 5387 7832 10774 21548 43096 59257 118514 237028 474056 479443 958886 1917772 3835544 5273873 10547746 21095492 42190984