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42491616 = 2531133917
BaseRepresentation
bin1010001000010…
…1111011100000
32221221210112120
42202011323200
541334212431
64114424240
71024113156
oct242057340
987853476
1042491616
1121a92642
1212292080
138a5998b
1459013d6
153ae5196
hex2885ee0

42491616 has 48 divisors (see below), whose sum is σ = 112556304. Its totient is φ = 14034944.

The previous prime is 42491597. The next prime is 42491689. The reversal of 42491616 is 61619424.

It is a tau number, because it is divible by the number of its divisors (48).

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, 8890 + ... + 12806.

It is an arithmetic number, because the mean of its divisors is an integer number (2344923).

Almost surely, 242491616 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 42491616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56278152).

42491616 is an abundant number, since it is smaller than the sum of its proper divisors (70064688).

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

42491616 is a wasteful number, since it uses less digits than its factorization.

42491616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4043 (or 4035 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 42491616 is about 6518.5593500405. The cubic root of 42491616 is about 348.9536532298.

The spelling of 42491616 in words is "forty-two million, four hundred ninety-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2712 3616 3917 5424 7834 10848 11751 15668 23502 31336 47004 62672 94008 125344 188016 376032 442621 885242 1327863 1770484 2655726 3540968 5311452 7081936 10622904 14163872 21245808 42491616