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42268520 = 2357150959
BaseRepresentation
bin1010000100111…
…1011101101000
32221112110111202
42201033131220
541310043040
64105543332
71022163560
oct241173550
987473452
1042268520
112194aa68
12121a4b48
1389ac278
145883da0
153a9e015
hex284f768

42268520 has 32 divisors (see below), whose sum is σ = 108691200. Its totient is φ = 14491968.

The previous prime is 42268519. The next prime is 42268529. The reversal of 42268520 is 2586224.

42268520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42268529) by changing a digit.

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, 75200 + ... + 75759.

It is an arithmetic number, because the mean of its divisors is an integer number (3396600).

Almost surely, 242268520 is an apocalyptic number.

42268520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42268520 is an abundant number, since it is smaller than the sum of its proper divisors (66422680).

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

42268520 is a wasteful number, since it uses less digits than its factorization.

42268520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150977 (or 150973 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 42268520 is about 6501.4244593012. The cubic root of 42268520 is about 348.3418712884.

The spelling of 42268520 in words is "forty-two million, two hundred sixty-eight thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 150959 301918 603836 754795 1056713 1207672 1509590 2113426 3019180 4226852 5283565 6038360 8453704 10567130 21134260 42268520