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8005538142 = 2327619102643
BaseRepresentation
bin1110111010010101…
…01101000101011110
3202122220211110210200
413131022231011132
5112343404210032
63402214244330
7402245644230
oct73512550536
922586743720
108005538142
113438a10328
1216750566a6
139a7731b24
1455d30a250
1531cc4147c
hex1dd2ad15e

8005538142 has 48 divisors (see below), whose sum is σ = 19855455360. Its totient is φ = 2283579216.

The previous prime is 8005538089. The next prime is 8005538143. The reversal of 8005538142 is 2418355008.

It is a happy number.

8005538142 is a `hidden beast` number, since 80 + 0 + 5 + 538 + 1 + 42 = 666.

8005538142 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 8005538097 and 8005538106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005538143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26673 + ... + 129315.

It is an arithmetic number, because the mean of its divisors is an integer number (413655320).

Almost surely, 28005538142 is an apocalyptic number.

8005538142 is an abundant number, since it is smaller than the sum of its proper divisors (11849917218).

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

8005538142 is a wasteful number, since it uses less digits than its factorization.

8005538142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103277 (or 103274 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 8005538142 is about 89473.6728987919. The cubic root of 8005538142 is about 2000.4614053777.

The spelling of 8005538142 in words is "eight billion, five million, five hundred thirty-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 619 1238 1857 3714 4333 5571 8666 11142 12999 25998 38997 77994 102643 205286 307929 615858 718501 923787 1437002 1847574 2155503 4311006 6466509 12933018 63536017 127072034 190608051 381216102 444752119 571824153 889504238 1143648306 1334256357 2668512714 4002769071 8005538142