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42814890 = 2325475721
BaseRepresentation
bin1010001101010…
…0110110101010
32222120012222200
42203110312222
541430034030
64125401030
71026630516
oct243246652
988505880
1042814890
1122193508
1212409176
138b40b71
145987146
153b5ad60
hex28d4daa

42814890 has 24 divisors (see below), whose sum is σ = 111318948. Its totient is φ = 11417280.

The previous prime is 42814879. The next prime is 42814901. The reversal of 42814890 is 9841824.

42814890 is a `hidden beast` number, since 428 + 148 + 90 = 666.

42814890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42814879) and next prime (42814901).

It can be written as a sum of positive squares in 2 ways, for example, as 41718681 + 1096209 = 6459^2 + 1047^2 .

It is a super-2 number, since 2×428148902 = 3666229611424200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 237771 + ... + 237950.

Almost surely, 242814890 is an apocalyptic number.

42814890 is an abundant number, since it is smaller than the sum of its proper divisors (68504058).

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

42814890 is a wasteful number, since it uses less digits than its factorization.

42814890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475734 (or 475731 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 42814890 is about 6543.3087960144. The cubic root of 42814890 is about 349.8363588763.

The spelling of 42814890 in words is "forty-two million, eight hundred fourteen thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 475721 951442 1427163 2378605 2854326 4281489 4757210 7135815 8562978 14271630 21407445 42814890