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42521316 = 22319283659
BaseRepresentation
bin1010001000110…
…1001011100100
32222000022021120
42202031023210
541341140231
64115213540
71024265565
oct242151344
988008246
1042521316
1122002992
12122a72b0
138a6a356
14590c16c
153aedd96
hex288d2e4

42521316 has 48 divisors (see below), whose sum is σ = 104966400. Its totient is φ = 13360032.

The previous prime is 42521299. The next prime is 42521329. The reversal of 42521316 is 61312524.

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 15 ways as a sum of consecutive naturals, for example, 64195 + ... + 64853.

It is an arithmetic number, because the mean of its divisors is an integer number (2186800).

Almost surely, 242521316 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 42521316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52483200).

42521316 is an abundant number, since it is smaller than the sum of its proper divisors (62445084).

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

42521316 is a wasteful number, since it uses less digits than its factorization.

42521316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 966 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 42521316 is about 6520.8370628317. The cubic root of 42521316 is about 349.0349360078.

The spelling of 42521316 in words is "forty-two million, five hundred twenty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 283 566 659 849 1132 1318 1698 1977 2636 3396 3954 5377 7908 10754 12521 16131 21508 25042 32262 37563 50084 64524 75126 150252 186497 372994 559491 745988 1118982 2237964 3543443 7086886 10630329 14173772 21260658 42521316