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42807204 = 22341112011
BaseRepresentation
bin1010001101001…
…0111110100100
32222112211110000
42203102332210
541424312304
64125301300
71026566226
oct243227644
988484400
1042807204
1122188760
1212404830
138b3a50b
145984416
153b58939
hex28d2fa4

42807204 has 60 divisors (see below), whose sum is σ = 122089968. Its totient is φ = 12970800.

The previous prime is 42807203. The next prime is 42807217. The reversal of 42807204 is 40270824.

42807204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (42807203) 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 19 ways as a sum of consecutive naturals, for example, 2442 + ... + 9569.

Almost surely, 242807204 is an apocalyptic number.

42807204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42807204 is an abundant number, since it is smaller than the sum of its proper divisors (79282764).

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

42807204 is a wasteful number, since it uses less digits than its factorization.

42807204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12038 (or 12027 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 42807204 is about 6542.7214521176. The cubic root of 42807204 is about 349.8154237673.

The spelling of 42807204 in words is "forty-two million, eight hundred seven thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 12011 24022 36033 48044 72066 108099 132121 144132 216198 264242 324297 396363 432396 528484 648594 792726 972891 1189089 1297188 1585452 1945782 2378178 3567267 3891564 4756356 7134534 10701801 14269068 21403602 42807204