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42689816 = 2313735623
BaseRepresentation
bin1010001011011…
…0010100011000
32222022212102022
42202312110120
541412033231
64122554012
71025600051
oct242662430
988285368
1042689816
1122108544
1212368908
138ac8c60
145953728
153b33c7b
hex28b6518

42689816 has 32 divisors (see below), whose sum is σ = 87396960. Its totient is φ = 19429632.

The previous prime is 42689791. The next prime is 42689851. The reversal of 42689816 is 61898624.

It is a happy number.

It is a super-3 number, since 3×426898163 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 4781 + ... + 10403.

It is an arithmetic number, because the mean of its divisors is an integer number (2731155).

Almost surely, 242689816 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 42689816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43698480).

42689816 is an abundant number, since it is smaller than the sum of its proper divisors (44707144).

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

42689816 is a wasteful number, since it uses less digits than its factorization.

42689816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5715 (or 5711 counting only the distinct ones).

The product of its digits is 165888, while the sum is 44.

The square root of 42689816 is about 6533.7444088363. The cubic root of 42689816 is about 349.4953707354.

The spelling of 42689816 in words is "forty-two million, six hundred eighty-nine thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 26 52 73 104 146 292 584 949 1898 3796 5623 7592 11246 22492 44984 73099 146198 292396 410479 584792 820958 1641916 3283832 5336227 10672454 21344908 42689816