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8042425830 = 23251911341621
BaseRepresentation
bin1110111110101110…
…11010110111100110
3202202111020120012100
413133113122313212
5112432330111310
63410013032530
7403204330425
oct73727326746
922674216170
108042425830
11345781561a
121685485746
139b2278b6a
1456418d2bc
153210caec0
hex1df5dade6

8042425830 has 96 divisors (see below), whose sum is σ = 22206169440. Its totient is φ = 2013742080.

The previous prime is 8042425819. The next prime is 8042425843. The reversal of 8042425830 is 385242408.

It is a super-2 number, since 2×80424258302 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172420 + ... + 214040.

It is an arithmetic number, because the mean of its divisors is an integer number (231314265).

Almost surely, 28042425830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8042425830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11103084720).

8042425830 is an abundant number, since it is smaller than the sum of its proper divisors (14163743610).

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

8042425830 is a wasteful number, since it uses less digits than its factorization.

8042425830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41766 (or 41763 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 8042425830 is about 89679.5730922042. The cubic root of 8042425830 is about 2003.5292543519.

The spelling of 8042425830 in words is "eight billion, forty-two million, four hundred twenty-five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 113 114 171 190 226 285 339 342 565 570 678 855 1017 1130 1695 1710 2034 2147 3390 4294 5085 6441 10170 10735 12882 19323 21470 32205 38646 41621 64410 83242 96615 124863 193230 208105 249726 374589 416210 624315 749178 790799 1248630 1581598 1872945 2372397 3745890 3953995 4703173 4744794 7117191 7907990 9406346 11861985 14109519 14234382 23515865 23723970 28219038 35585955 42328557 47031730 70547595 71171910 84657114 89360287 141095190 178720574 211642785 268080861 423285570 446801435 536161722 804242583 893602870 1340404305 1608485166 2680808610 4021212915 8042425830