Search a number
-
+
8235109008 = 2432721373823
BaseRepresentation
bin1111010101101100…
…11100101010010000
3210020220210212211100
413222312130222100
5113331141442013
63441054544400
7411034162110
oct75266345220
923226725740
108235109008
113546560315
121719b08100
13a13170989
145819c9040
15332e8c473
hex1ead9ca90

8235109008 has 120 divisors (see below), whose sum is σ = 26358495488. Its totient is φ = 2351172096.

The previous prime is 8235108979. The next prime is 8235109019. The reversal of 8235109008 is 8009015328.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 2152185 + ... + 2156007.

Almost surely, 28235109008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8235109008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13179247744).

8235109008 is an abundant number, since it is smaller than the sum of its proper divisors (18123386480).

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

8235109008 is a wasteful number, since it uses less digits than its factorization.

8235109008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5981 (or 5972 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 8235109008 is about 90747.5013870905. The cubic root of 8235109008 is about 2019.4035594893.

The spelling of 8235109008 in words is "eight billion, two hundred thirty-five million, one hundred nine thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2137 3823 4274 6411 7646 8548 11469 12822 14959 15292 17096 19233 22938 25644 26761 29918 30584 34192 34407 38466 44877 45876 51288 53522 59836 61168 68814 76932 80283 89754 91752 102576 107044 119672 134631 137628 153864 160566 179508 183504 214088 239344 240849 269262 275256 307728 321132 359016 428176 481698 538524 550512 642264 718032 963396 1077048 1284528 1926792 2154096 3853584 8169751 16339502 24509253 32679004 49018506 57188257 65358008 73527759 98037012 114376514 130716016 147055518 171564771 196074024 228753028 294111036 343129542 392148048 457506056 514694313 588222072 686259084 915012112 1029388626 1176444144 1372518168 2058777252 2745036336 4117554504 8235109008