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42632825 = 524141593
BaseRepresentation
bin1010001010100…
…0011001111001
32222012222020112
42202220121321
541403222300
64121434105
71025241644
oct242503171
988188215
1042632825
1122079744
121233b935
138aa9031
14593aa5b
153b21e35
hex28a8679

42632825 has 12 divisors (see below), whose sum is σ = 54155388. Its totient is φ = 33273600.

The previous prime is 42632801. The next prime is 42632899. The reversal of 42632825 is 52823624.

It can be written as a sum of positive squares in 6 ways, for example, as 13169641 + 29463184 = 3629^2 + 5428^2 .

It is a de Polignac number, because none of the positive numbers 2k-42632825 is a prime.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42632791 and 42632800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19772 + ... + 21821.

It is an arithmetic number, because the mean of its divisors is an integer number (4512949).

Almost surely, 242632825 is an apocalyptic number.

It is an amenable number.

42632825 is a deficient number, since it is larger than the sum of its proper divisors (11522563).

42632825 is a wasteful number, since it uses less digits than its factorization.

42632825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41644 (or 41639 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 42632825 is about 6529.3816705719. The cubic root of 42632825 is about 349.3397757740.

The spelling of 42632825 in words is "forty-two million, six hundred thirty-two thousand, eight hundred twenty-five".

Divisors: 1 5 25 41 205 1025 41593 207965 1039825 1705313 8526565 42632825