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42200382 = 2373492879
BaseRepresentation
bin1010000011111…
…0110100111110
32221102000001010
42200332310332
541300403012
64104300050
71021461120
oct240766476
987360033
1042200382
1121903854
1212171626
138987253
145867210
153a88c3c
hex283ed3e

42200382 has 32 divisors (see below), whose sum is σ = 96768000. Its totient is φ = 12018528.

The previous prime is 42200381. The next prime is 42200429. The reversal of 42200382 is 28300224.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42200381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13219 + ... + 16097.

It is an arithmetic number, because the mean of its divisors is an integer number (3024000).

Almost surely, 242200382 is an apocalyptic number.

42200382 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

42200382 is an abundant number, since it is smaller than the sum of its proper divisors (54567618).

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

42200382 is a wasteful number, since it uses less digits than its factorization.

42200382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 42200382 is about 6496.1821095163. The cubic root of 42200382 is about 348.1545917728.

The spelling of 42200382 in words is "forty-two million, two hundred thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 349 698 1047 2094 2443 2879 4886 5758 7329 8637 14658 17274 20153 40306 60459 120918 1004771 2009542 3014313 6028626 7033397 14066794 21100191 42200382