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42466880 = 265132709
BaseRepresentation
bin1010000111111…
…1111001000000
32221220112121102
42201333321000
541332420010
64114113532
71023651101
oct241777100
987815542
1042466880
1121a75aa5
121227b8a8
138a4b641
1458d63a8
153adcba5
hex287fe40

42466880 has 28 divisors (see below), whose sum is σ = 101125020. Its totient is φ = 16986624.

The previous prime is 42466871. The next prime is 42466883. The reversal of 42466880 is 8866424.

It is a happy number.

42466880 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 2 ways, for example, as 24285184 + 18181696 = 4928^2 + 4264^2 .

It is not an unprimeable number, because it can be changed into a prime (42466883) 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 3 ways as a sum of consecutive naturals, for example, 66035 + ... + 66674.

Almost surely, 242466880 is an apocalyptic number.

42466880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42466880 is an abundant number, since it is smaller than the sum of its proper divisors (58658140).

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

42466880 is a wasteful number, since it uses less digits than its factorization.

42466880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132726 (or 132716 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 42466880 is about 6516.6617220783. The cubic root of 42466880 is about 348.8859269826.

The spelling of 42466880 in words is "forty-two million, four hundred sixty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 132709 265418 530836 663545 1061672 1327090 2123344 2654180 4246688 5308360 8493376 10616720 21233440 42466880