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8005539942 = 2322349139383
BaseRepresentation
bin1110111010010101…
…01101100001100110
3202122220211120021100
413131022231201212
5112343404234232
63402214300530
7402245652411
oct73512554146
922586746240
108005539942
113438a11714
121675057746
139a77328aa
1455d30ab78
1531cc41c7c
hex1dd2ad866

8005539942 has 48 divisors (see below), whose sum is σ = 18136804608. Its totient is φ = 2547227760.

The previous prime is 8005539901. The next prime is 8005539947. The reversal of 8005539942 is 2499355008.

8005539942 is a `hidden beast` number, since 8 + 0 + 0 + 553 + 9 + 94 + 2 = 666.

It is a super-3 number, since 3×80055399423 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005539947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183583 + ... + 222965.

It is an arithmetic number, because the mean of its divisors is an integer number (377850096).

Almost surely, 28005539942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8005539942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9068402304).

8005539942 is an abundant number, since it is smaller than the sum of its proper divisors (10131264666).

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

8005539942 is a wasteful number, since it uses less digits than its factorization.

8005539942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39905 (or 39902 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 8005539942 is about 89473.6829576161. The cubic root of 8005539942 is about 2000.4615553085.

The spelling of 8005539942 in words is "eight billion, five million, five hundred thirty-nine thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 491 982 1473 2946 4419 8838 11293 22586 33879 39383 67758 78766 101637 118149 203274 236298 354447 708894 905809 1811618 2717427 5434854 8152281 16304562 19337053 38674106 58011159 116022318 174033477 348066954 444752219 889504438 1334256657 2668513314 4002769971 8005539942