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42716320 = 255266977
BaseRepresentation
bin1010001011110…
…0110010100000
32222101012202221
42202330302200
541413410240
64123320424
71026040243
oct242746240
988335687
1042716320
1122126449
1212380114
138b0803a
14595d25a
153b3ba4a
hex28bcca0

42716320 has 24 divisors (see below), whose sum is σ = 100917684. Its totient is φ = 17086464.

The previous prime is 42716309. The next prime is 42716321. The reversal of 42716320 is 2361724.

It can be written as a sum of positive squares in 2 ways, for example, as 42458256 + 258064 = 6516^2 + 508^2 .

It is not an unprimeable number, because it can be changed into a prime (42716321) 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 3 ways as a sum of consecutive naturals, for example, 133329 + ... + 133648.

Almost surely, 242716320 is an apocalyptic number.

42716320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42716320 is an abundant number, since it is smaller than the sum of its proper divisors (58201364).

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

42716320 is a wasteful number, since it uses less digits than its factorization.

42716320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266992 (or 266984 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 42716320 is about 6535.7723338562. The cubic root of 42716320 is about 349.5676839149.

The spelling of 42716320 in words is "forty-two million, seven hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 266977 533954 1067908 1334885 2135816 2669770 4271632 5339540 8543264 10679080 21358160 42716320