Search a number
-
+
8532084880 = 2451119315021
BaseRepresentation
bin1111111001000110…
…10100100010010000
3211000121121211010201
413330203110202100
5114433203204010
63530344104544
7421301345014
oct77443244220
924017554121
108532084880
113689159720
1217a1465154
13a5c850147
145ad212544
1534e0a023a
hex1fc8d4890

8532084880 has 80 divisors (see below), whose sum is σ = 21655988928. Its totient is φ = 3100352000.

The previous prime is 8532084851. The next prime is 8532084901. The reversal of 8532084880 is 884802358.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×85320848804 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 8532084880.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1696770 + ... + 1701790.

Almost surely, 28532084880 is an apocalyptic number.

8532084880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8532084880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10827994464).

8532084880 is an abundant number, since it is smaller than the sum of its proper divisors (13123904048).

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

8532084880 is a wasteful number, since it uses less digits than its factorization.

8532084880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6976 (or 6970 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 46.

The square root of 8532084880 is about 92369.2853712748. The cubic root of 8532084880 is about 2043.3921584427.

The spelling of 8532084880 in words is "eight billion, five hundred thirty-two million, eighty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1931 3862 5021 7724 9655 10042 15448 19310 20084 21241 25105 30896 38620 40168 42482 50210 55231 77240 80336 84964 100420 106205 110462 154480 169928 200840 212410 220924 276155 339856 401680 424820 441848 552310 849640 883696 1104620 1699280 2209240 4418480 9695551 19391102 38782204 48477755 77564408 96955510 106651061 155128816 193911020 213302122 387822040 426604244 533255305 775644080 853208488 1066510610 1706416976 2133021220 4266042440 8532084880