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42835632 = 2437127487
BaseRepresentation
bin1010001101100…
…1111010110000
32222121021102220
42203121322300
541431220012
64130041040
71030045140
oct243317260
988537386
1042835632
11221a8054
1212419180
138b4a438
145990920
153b6208c
hex28d9eb0

42835632 has 40 divisors (see below), whose sum is σ = 126468096. Its totient is φ = 12238656.

The previous prime is 42835621. The next prime is 42835643. The reversal of 42835632 is 23653824.

It is a happy number.

42835632 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 (42835621) and next prime (42835643).

It is a junction number, because it is equal to n+sod(n) for n = 42835593 and 42835602.

It is an unprimeable number.

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, 63408 + ... + 64079.

Almost surely, 242835632 is an apocalyptic number.

42835632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42835632 is an abundant number, since it is smaller than the sum of its proper divisors (83632464).

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

42835632 is a wasteful number, since it uses less digits than its factorization.

42835632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127505 (or 127499 counting only the distinct ones).

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

The square root of 42835632 is about 6544.8935820226. The cubic root of 42835632 is about 349.8928433866.

The spelling of 42835632 in words is "forty-two million, eight hundred thirty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 127487 254974 382461 509948 764922 892409 1019896 1529844 1784818 2039792 2677227 3059688 3569636 5354454 6119376 7139272 10708908 14278544 21417816 42835632