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42425625 = 35411317
BaseRepresentation
bin1010000111010…
…1110100011001
32221211110000110
42201311310121
541330110000
64113154533
71023416604
oct241656431
987743013
1042425625
1121a48000
121225ba49
138a35928
1458c533b
153ad0850
hex2875d19

42425625 has 80 divisors (see below), whose sum is σ = 82323648. Its totient is φ = 19360000.

The previous prime is 42425623. The next prime is 42425627. The reversal of 42425625 is 52652424.

It is a happy number.

42425625 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 (42425623) and next prime (42425627).

It is not a de Polignac number, because 42425625 - 21 = 42425623 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42425592 and 42425601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42425623) 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 79 ways as a sum of consecutive naturals, for example, 2495617 + ... + 2495633.

Almost surely, 242425625 is an apocalyptic number.

It is an amenable number.

42425625 is a deficient number, since it is larger than the sum of its proper divisors (39898023).

42425625 is an equidigital number, since it uses as much as digits as its factorization.

42425625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 36 counting only the distinct ones).

The product of its digits is 19200, while the sum is 30.

The square root of 42425625 is about 6513.4956052799. The cubic root of 42425625 is about 348.7729137962.

The spelling of 42425625 in words is "forty-two million, four hundred twenty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 11 15 17 25 33 51 55 75 85 121 125 165 187 255 275 363 375 425 561 605 625 825 935 1275 1331 1375 1815 1875 2057 2125 2805 3025 3993 4125 4675 6171 6375 6655 6875 9075 10285 10625 14025 15125 19965 20625 22627 23375 30855 31875 33275 45375 51425 67881 70125 75625 99825 113135 116875 154275 166375 226875 257125 339405 350625 499125 565675 771375 831875 1285625 1697025 2495625 2828375 3856875 8485125 14141875 42425625