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42485730 = 2357307659
BaseRepresentation
bin1010001000010…
…0011111100010
32221221111110120
42202010133202
541334020410
64114341110
71024060050
oct242043742
987844416
1042485730
1121a89181
121228a796
138a570b1
1458dd1d0
153ae3570
hex28847e2

42485730 has 64 divisors (see below), whose sum is σ = 117089280. Its totient is φ = 9664704.

The previous prime is 42485719. The next prime is 42485743. The reversal of 42485730 is 3758424.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42485691 and 42485700.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 64141 + ... + 64799.

It is an arithmetic number, because the mean of its divisors is an integer number (1829520).

Almost surely, 242485730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42485730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58544640).

42485730 is an abundant number, since it is smaller than the sum of its proper divisors (74603550).

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

42485730 is a wasteful number, since it uses less digits than its factorization.

42485730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983.

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 42485730 is about 6518.1078542780. The cubic root of 42485730 is about 348.9375399644.

The spelling of 42485730 in words is "forty-two million, four hundred eighty-five thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 307 614 659 921 1318 1535 1842 1977 2149 3070 3295 3954 4298 4605 4613 6447 6590 9210 9226 9885 10745 12894 13839 19770 21490 23065 27678 32235 46130 64470 69195 138390 202313 404626 606939 1011565 1213878 1416191 2023130 2832382 3034695 4248573 6069390 7080955 8497146 14161910 21242865 42485730