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42306560 = 21058263
BaseRepresentation
bin1010000101100…
…0110000000000
32221121101200122
42201120300000
541312302220
64110435412
71022412512
oct241306000
987541618
1042306560
11219765aa
1212202b68
1389c368a
145893bb2
153aaa425
hex2858c00

42306560 has 44 divisors (see below), whose sum is σ = 101498448. Its totient is φ = 16920576.

The previous prime is 42306541. The next prime is 42306601. The reversal of 42306560 is 6560324.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 989 + ... + 9251.

Almost surely, 242306560 is an apocalyptic number.

42306560 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 42306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50749224).

42306560 is an abundant number, since it is smaller than the sum of its proper divisors (59191888).

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

42306560 is an equidigital number, since it uses as much as digits as its factorization.

42306560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8288 (or 8270 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 42306560 is about 6504.3493141128. The cubic root of 42306560 is about 348.4463379353.

Adding to 42306560 its reverse (6560324), we get a palindrome (48866884).

The spelling of 42306560 in words is "forty-two million, three hundred six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 8263 16526 33052 41315 66104 82630 132208 165260 264416 330520 528832 661040 1057664 1322080 2115328 2644160 4230656 5288320 8461312 10576640 21153280 42306560