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42032116 = 22710871381
BaseRepresentation
bin1010000001010…
…1101111110100
32221002110020001
42200111233310
541230011431
64100521044
71020160420
oct240255764
987073201
1042032116
11217a9395
12120b0184
138928799
145821b80
153a53e61
hex2815bf4

42032116 has 24 divisors (see below), whose sum is σ = 84202496. Its totient is φ = 17984160.

The previous prime is 42032099. The next prime is 42032129. The reversal of 42032116 is 61123024.

42032116 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 = 42032093 and 42032102.

It is a congruent number.

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, 29746 + ... + 31126.

Almost surely, 242032116 is an apocalyptic number.

It is an amenable number.

42032116 is an abundant number, since it is smaller than the sum of its proper divisors (42170380).

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

42032116 is a wasteful number, since it uses less digits than its factorization.

42032116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 42032116 is about 6483.2180281092. The cubic root of 42032116 is about 347.6912419720.

The spelling of 42032116 in words is "forty-two million, thirty-two thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 1087 1381 2174 2762 4348 5524 7609 9667 15218 19334 30436 38668 1501147 3002294 6004588 10508029 21016058 42032116