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8005408884 = 22321121837789
BaseRepresentation
bin1110111010010100…
…01101100001110100
3202122220120220111100
413131022031201310
5112343341041014
63402211410100
7402244565334
oct73512154164
922586526440
108005408884
113438932200
121674bb3930
139a76b8045
1455d2b50c4
1531cc18009
hex1dd28d874

8005408884 has 54 divisors (see below), whose sum is σ = 22242772370. Its totient is φ = 2425880160.

The previous prime is 8005408867. The next prime is 8005408897. The reversal of 8005408884 is 4888045008.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7997724900 + 7683984 = 89430^2 + 2772^2 .

It is a super-2 number, since 2×80054088842 (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 (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 914539 + ... + 923250.

Almost surely, 28005408884 is an apocalyptic number.

It is an amenable number.

8005408884 is an abundant number, since it is smaller than the sum of its proper divisors (14237363486).

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

8005408884 is a wasteful number, since it uses less digits than its factorization.

8005408884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837821 (or 1837805 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 8005408884 is about 89472.9505716672. The cubic root of 8005408884 is about 2000.4506387880.

The spelling of 8005408884 in words is "eight billion, five million, four hundred eight thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 1837789 3675578 5513367 7351156 11026734 16540101 20215679 22053468 33080202 40431358 60647037 66160404 80862716 121294074 181941111 222372469 242588148 363882222 444744938 667117407 727764444 889489876 1334234814 2001352221 2668469628 4002704442 8005408884