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42955016 = 2313537793
BaseRepresentation
bin1010001111011…
…1000100001000
32222211100012112
42203313010020
541444030031
64132401452
71031053166
oct243670410
988740175
1042955016
1122279815
1212476288
138b8c890
1459c2236
153b8762b
hex28f7108

42955016 has 32 divisors (see below), whose sum is σ = 88383960. Its totient is φ = 19448832.

The previous prime is 42954959. The next prime is 42955021. The reversal of 42955016 is 61055924.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 41860900 + 1094116 = 6470^2 + 1046^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1616 + ... + 9408.

Almost surely, 242955016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42955016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44191980).

42955016 is an abundant number, since it is smaller than the sum of its proper divisors (45428944).

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

42955016 is a wasteful number, since it uses less digits than its factorization.

42955016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7865 (or 7861 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 42955016 is about 6554.0076289245. The cubic root of 42955016 is about 350.2175953050.

The spelling of 42955016 in words is "forty-two million, nine hundred fifty-five thousand, sixteen".

Divisors: 1 2 4 8 13 26 52 53 104 106 212 424 689 1378 2756 5512 7793 15586 31172 62344 101309 202618 405236 413029 810472 826058 1652116 3304232 5369377 10738754 21477508 42955016