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42563832 = 2335233391
BaseRepresentation
bin1010001001011…
…1100011111000
32222002110121020
42202113203320
541344020312
64120142440
71024533543
oct242274370
988073536
1042563832
1122031923
1212307a20
138a837cc
14591d85a
153b0b78c
hex28978f8

42563832 has 32 divisors (see below), whose sum is σ = 106644480. Its totient is φ = 14156640.

The previous prime is 42563831. The next prime is 42563849. The reversal of 42563832 is 23836524.

It is a happy number.

42563832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42563793 and 42563802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42563831) 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 7 ways as a sum of consecutive naturals, for example, 10857 + ... + 14247.

It is an arithmetic number, because the mean of its divisors is an integer number (3332640).

Almost surely, 242563832 is an apocalyptic number.

It is an amenable number.

42563832 is an abundant number, since it is smaller than the sum of its proper divisors (64080648).

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

42563832 is a wasteful number, since it uses less digits than its factorization.

42563832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3923 (or 3919 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 42563832 is about 6524.0962592531. The cubic root of 42563832 is about 349.1512276906.

The spelling of 42563832 in words is "forty-two million, five hundred sixty-three thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 523 1046 1569 2092 3138 3391 4184 6276 6782 10173 12552 13564 20346 27128 40692 81384 1773493 3546986 5320479 7093972 10640958 14187944 21281916 42563832