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42021056 = 267118527
BaseRepresentation
bin1010000001001…
…1000011000000
32221001220001102
42200103003000
541224133211
64100353532
71020113240
oct240230300
987056042
1042021056
11217a1050
12120a58a8
13892373c
14581bb20
153a50a3b
hex28130c0

42021056 has 56 divisors (see below), whose sum is σ = 103973376. Its totient is φ = 16369920.

The previous prime is 42021043. The next prime is 42021071. The reversal of 42021056 is 65012024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 665 + ... + 9191.

Almost surely, 242021056 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 42021056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51986688).

42021056 is an abundant number, since it is smaller than the sum of its proper divisors (61952320).

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

42021056 is a wasteful number, since it uses less digits than its factorization.

42021056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8557 (or 8547 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 42021056 is about 6482.3650005226. The cubic root of 42021056 is about 347.6607430516.

The spelling of 42021056 in words is "forty-two million, twenty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 8527 17054 34108 59689 68216 93797 119378 136432 187594 238756 272864 375188 477512 545728 656579 750376 955024 1313158 1500752 1910048 2626316 3001504 3820096 5252632 6003008 10505264 21010528 42021056