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42284981 = 412574013
BaseRepresentation
bin1010000101001…
…1011110110101
32221120022002102
42201103132311
541311104411
64110151445
71022262554
oct241233665
987508072
1042284981
1121961372
12121b2585
1389b68cb
145889d9b
153aa3d3b
hex28537b5

42284981 has 8 divisors (see below), whose sum is σ = 43495704. Its totient is φ = 41082880.

The previous prime is 42284959. The next prime is 42284989. The reversal of 42284981 is 18948224.

It can be written as a sum of positive squares in 4 ways, for example, as 14554225 + 27730756 = 3815^2 + 5266^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42284981 - 210 = 42283957 is a prime.

It is a super-2 number, since 2×422849812 = 3576039236340722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42284989) 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, 8531 + ... + 12543.

It is an arithmetic number, because the mean of its divisors is an integer number (5436963).

Almost surely, 242284981 is an apocalyptic number.

42284981 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42284981 is a deficient number, since it is larger than the sum of its proper divisors (1210723).

42284981 is a wasteful number, since it uses less digits than its factorization.

42284981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4311.

The product of its digits is 36864, while the sum is 38.

The square root of 42284981 is about 6502.6902894110. The cubic root of 42284981 is about 348.3870846950.

The spelling of 42284981 in words is "forty-two million, two hundred eighty-four thousand, nine hundred eighty-one".

Divisors: 1 41 257 4013 10537 164533 1031341 42284981