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42089825 = 5213712289
BaseRepresentation
bin1010000010001…
…1110101100001
32221012101101102
42200203311201
541233333300
64102044145
71020520601
oct240436541
987171342
1042089825
1121838788
1212119655
138948b2b
145838c01
153a660d5
hex2823d61

42089825 has 12 divisors (see below), whose sum is σ = 52576620. Its totient is φ = 33423360.

The previous prime is 42089813. The next prime is 42089837. The reversal of 42089825 is 52898024.

It is an interprime number because it is at equal distance from previous prime (42089813) and next prime (42089837).

It can be written as a sum of positive squares in 6 ways, for example, as 190096 + 41899729 = 436^2 + 6473^2 .

It is not a de Polignac number, because 42089825 - 24 = 42089809 is a prime.

It is a hoax number, since the sum of its digits (38) 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2720 + ... + 9569.

It is an arithmetic number, because the mean of its divisors is an integer number (4381385).

Almost surely, 242089825 is an apocalyptic number.

It is an amenable number.

42089825 is a deficient number, since it is larger than the sum of its proper divisors (10486795).

42089825 is a wasteful number, since it uses less digits than its factorization.

42089825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12436 (or 12431 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 42089825 is about 6487.6671462090. The cubic root of 42089825 is about 347.8502928750.

The spelling of 42089825 in words is "forty-two million, eighty-nine thousand, eight hundred twenty-five".

Divisors: 1 5 25 137 685 3425 12289 61445 307225 1683593 8417965 42089825