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42248440 = 23513113719
BaseRepresentation
bin1010000100101…
…0100011111000
32221111102222001
42201022203320
541303422230
64105310344
71022051203
oct241124370
987442861
1042248440
1121936973
12121953b4
1389a30a0
14587a93a
153a980ca
hex284a8f8

42248440 has 64 divisors (see below), whose sum is σ = 103420800. Its totient is φ = 15439872.

The previous prime is 42248399. The next prime is 42248449. The reversal of 42248440 is 4484224.

It is a junction number, because it is equal to n+sod(n) for n = 42248399 and 42248408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42248449) by changing a digit.

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, 58401 + ... + 59119.

It is an arithmetic number, because the mean of its divisors is an integer number (1615950).

Almost surely, 242248440 is an apocalyptic number.

42248440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42248440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51710400).

42248440 is an abundant number, since it is smaller than the sum of its proper divisors (61172360).

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

42248440 is a wasteful number, since it uses less digits than its factorization.

42248440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 42248440 is about 6499.8799988923. The cubic root of 42248440 is about 348.2867016831.

The spelling of 42248440 in words is "forty-two million, two hundred forty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 113 130 226 260 452 520 565 719 904 1130 1438 1469 2260 2876 2938 3595 4520 5752 5876 7190 7345 9347 11752 14380 14690 18694 28760 29380 37388 46735 58760 74776 81247 93470 162494 186940 324988 373880 406235 649976 812470 1056211 1624940 2112422 3249880 4224844 5281055 8449688 10562110 21124220 42248440