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42549416 = 23713211277
BaseRepresentation
bin1010001001010…
…0000010101000
32222001201211022
42202110002220
541343040131
64115552012
71024443530
oct242240250
988051738
1042549416
1122022008
12122bb608
138a7a090
1459184c0
153b0737b
hex28940a8

42549416 has 64 divisors (see below), whose sum is σ = 99012480. Its totient is φ = 16692480.

The previous prime is 42549413. The next prime is 42549421. The reversal of 42549416 is 61494524.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 42549416 = 743 + 3483 = 2723 + 2823.

It is not an unprimeable number, because it can be changed into a prime (42549413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153470 + ... + 153746.

It is an arithmetic number, because the mean of its divisors is an integer number (1547070).

Almost surely, 242549416 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 42549416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49506240).

42549416 is an abundant number, since it is smaller than the sum of its proper divisors (56463064).

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

42549416 is a wasteful number, since it uses less digits than its factorization.

42549416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 510 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 42549416 is about 6522.9913383355. The cubic root of 42549416 is about 349.1118050774. Note that the first 3 decimals are identical.

The spelling of 42549416 in words is "forty-two million, five hundred forty-nine thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 211 277 364 422 554 728 844 1108 1477 1688 1939 2216 2743 2954 3601 3878 5486 5908 7202 7756 10972 11816 14404 15512 19201 21944 25207 28808 38402 50414 58447 76804 100828 116894 153608 201656 233788 409129 467576 759811 818258 1519622 1636516 3039244 3273032 5318677 6078488 10637354 21274708 42549416