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42229720 = 2351326247
BaseRepresentation
bin1010000100010…
…1111111011000
32221110111021201
42201011333120
541302322340
64105043544
71021642501
oct241057730
987414251
1042229720
11219238a5
12121865b4
138997700
145873ba8
153a9279a
hex2845fd8

42229720 has 48 divisors (see below), whose sum is σ = 102904560. Its totient is φ = 15590016.

The previous prime is 42229709. The next prime is 42229739. The reversal of 42229720 is 2792224.

42229720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 3637 + ... + 9883.

It is an arithmetic number, because the mean of its divisors is an integer number (2143845).

Almost surely, 242229720 is an apocalyptic number.

42229720 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 42229720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51452280).

42229720 is an abundant number, since it is smaller than the sum of its proper divisors (60674840).

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

42229720 is a wasteful number, since it uses less digits than its factorization.

42229720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6284 (or 6267 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 42229720 is about 6498.4398127551. The cubic root of 42229720 is about 348.2352529174.

The spelling of 42229720 in words is "forty-two million, two hundred twenty-nine thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6247 6760 12494 24988 31235 49976 62470 81211 124940 162422 249880 324844 406055 649688 812110 1055743 1624220 2111486 3248440 4222972 5278715 8445944 10557430 21114860 42229720