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42321536 = 272111567
BaseRepresentation
bin1010000101110…
…0011010000000
32221122011020022
42201130122000
541313242121
64111033012
71022504255
oct241343200
987564208
1042321536
1121986884
121220b768
1389ca43a
14589942c
153aaeaab
hex285c680

42321536 has 32 divisors (see below), whose sum is σ = 84766080. Its totient is φ = 21047040.

The previous prime is 42321511. The next prime is 42321557. The reversal of 42321536 is 63512324.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×423215362 = 3582224818798592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26225 + ... + 27791.

It is an arithmetic number, because the mean of its divisors is an integer number (2648940).

Almost surely, 242321536 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 42321536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42383040).

42321536 is an abundant number, since it is smaller than the sum of its proper divisors (42444544).

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

42321536 is a wasteful number, since it uses less digits than its factorization.

42321536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1780 counting only the distinct ones).

The product of its digits is 4320, while the sum is 26.

The square root of 42321536 is about 6505.5004419337. The cubic root of 42321536 is about 348.4874483190.

The spelling of 42321536 in words is "forty-two million, three hundred twenty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 211 422 844 1567 1688 3134 3376 6268 6752 12536 13504 25072 27008 50144 100288 200576 330637 661274 1322548 2645096 5290192 10580384 21160768 42321536