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42448580 = 2257612789
BaseRepresentation
bin1010000111101…
…1011011000100
32221212121111122
42201323123010
541331323310
64113453112
71023543536
oct241733304
987777448
1042448580
1121a63279
1212271198
138a43205
1458cd856
153ad7555
hex287b6c4

42448580 has 24 divisors (see below), whose sum is σ = 89291160. Its totient is φ = 16951040.

The previous prime is 42448559. The next prime is 42448591. The reversal of 42448580 is 8584424.

42448580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16384 + 42432196 = 128^2 + 6514^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42448580.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13826 + ... + 16614.

It is an arithmetic number, because the mean of its divisors is an integer number (3720465).

Almost surely, 242448580 is an apocalyptic number.

It is an amenable number.

42448580 is an abundant number, since it is smaller than the sum of its proper divisors (46842580).

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

42448580 is a wasteful number, since it uses less digits than its factorization.

42448580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

The square root of 42448580 is about 6515.2574776443. The cubic root of 42448580 is about 348.8358053366.

The spelling of 42448580 in words is "forty-two million, four hundred forty-eight thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 761 1522 2789 3044 3805 5578 7610 11156 13945 15220 27890 55780 2122429 4244858 8489716 10612145 21224290 42448580