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42259360 = 25511131847
BaseRepresentation
bin1010000100110…
…1001110100000
32221111222221111
42201031032200
541304244420
64105433104
71022125063
oct241151640
987458844
1042259360
11219440a0
121219b794
1389a8050
1458808da
153a9b45a
hex284d3a0

42259360 has 96 divisors (see below), whose sum is σ = 117355392. Its totient is φ = 14177280.

The previous prime is 42259339. The next prime is 42259361. The reversal of 42259360 is 6395224.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (42259361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21957 + ... + 23803.

It is an arithmetic number, because the mean of its divisors is an integer number (1222452).

Almost surely, 242259360 is an apocalyptic number.

42259360 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 42259360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58677696).

42259360 is an abundant number, since it is smaller than the sum of its proper divisors (75096032).

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

42259360 is a wasteful number, since it uses less digits than its factorization.

42259360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 42259360 is about 6500.7199601275. The cubic root of 42259360 is about 348.3167064450.

The spelling of 42259360 in words is "forty-two million, two hundred fifty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 176 208 220 260 286 352 416 440 520 572 715 880 1040 1144 1430 1760 1847 2080 2288 2860 3694 4576 5720 7388 9235 11440 14776 18470 20317 22880 24011 29552 36940 40634 48022 59104 73880 81268 96044 101585 120055 147760 162536 192088 203170 240110 264121 295520 325072 384176 406340 480220 528242 650144 768352 812680 960440 1056484 1320605 1625360 1920880 2112968 2641210 3250720 3841760 4225936 5282420 8451872 10564840 21129680 42259360