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8005162420 = 2252383209669
BaseRepresentation
bin1110111010010010…
…10001010110110100
3202122220010101102001
413131021101112310
5112343310144140
63402202225044
7402242520643
oct73511212664
922586111361
108005162420
113438784012
121674ab5184
139a762cac8
1455d24d35a
1531cbb9e9a
hex1dd2515b4

8005162420 has 48 divisors (see below), whose sum is σ = 17753178240. Its totient is φ = 3025928576.

The previous prime is 8005162411. The next prime is 8005162427. The reversal of 8005162420 is 242615008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005162427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66655 + ... + 143014.

It is an arithmetic number, because the mean of its divisors is an integer number (369857880).

Almost surely, 28005162420 is an apocalyptic number.

It is an amenable number.

8005162420 is an abundant number, since it is smaller than the sum of its proper divisors (9748015820).

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

8005162420 is a wasteful number, since it uses less digits than its factorization.

8005162420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209784 (or 209782 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 8005162420 is about 89471.5732509494. The cubic root of 8005162420 is about 2000.4301091631.

Adding to 8005162420 its reverse (242615008), we get a palindrome (8247777428).

The spelling of 8005162420 in words is "eight billion, five million, one hundred sixty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 83 92 115 166 230 332 415 460 830 1660 1909 3818 7636 9545 19090 38180 209669 419338 838676 1048345 2096690 4193380 4822387 9644774 17402527 19289548 24111935 34805054 48223870 69610108 87012635 96447740 174025270 348050540 400258121 800516242 1601032484 2001290605 4002581210 8005162420