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8040220408 = 2311347263303
BaseRepresentation
bin1110111110011110…
…00000011011111000
3202202100002111221001
413133033000123320
5112431244023113
63405453454344
7403146513553
oct73717003370
922670074831
108040220408
113456549660
1216847a13b4
139b198608c
14563b7769a
15320ce27dd
hex1df3c06f8

8040220408 has 32 divisors (see below), whose sum is σ = 16493362560. Its totient is φ = 3644099680.

The previous prime is 8040220387. The next prime is 8040220421.

8040220408 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 101116 + ... + 162187.

It is an arithmetic number, because the mean of its divisors is an integer number (515417580).

Almost surely, 28040220408 is an apocalyptic number.

8040220408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8040220408 is an abundant number, since it is smaller than the sum of its proper divisors (8453142152).

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

8040220408 is a wasteful number, since it uses less digits than its factorization.

8040220408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263667 (or 263663 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 8040220408 is about 89667.2761268011. The cubic root of 8040220408 is about 2003.3460993542.

The spelling of 8040220408 in words is "eight billion, forty million, two hundred twenty thousand, four hundred eight".

Divisors: 1 2 4 8 11 22 44 88 347 694 1388 2776 3817 7634 15268 30536 263303 526606 1053212 2106424 2896333 5792666 11585332 23170664 91366141 182732282 365464564 730929128 1005027551 2010055102 4020110204 8040220408