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8285445828 = 22331116342787
BaseRepresentation
bin1111011011101100…
…11101111011000100
3210101102112020222000
413231312131323010
5113432033231303
63450053505300
7412215061512
oct75566357304
923342466860
108285445828
113571a110a0
121732942230
13a2071648a
1458856d4b2
153375d1da3
hex1edd9dec4

8285445828 has 96 divisors (see below), whose sum is σ = 23577899520. Its totient is φ = 2495279520.

The previous prime is 8285445827. The next prime is 8285445863.

8285445828 is a `hidden beast` number, since 8 + 2 + 8 + 54 + 4 + 582 + 8 = 666.

8285445828 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×82854458282 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8285445827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172251 + ... + 215037.

It is an arithmetic number, because the mean of its divisors is an integer number (245603120).

Almost surely, 28285445828 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 8285445828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11788949760).

8285445828 is an abundant number, since it is smaller than the sum of its proper divisors (15292453692).

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

8285445828 is a wasteful number, since it uses less digits than its factorization.

8285445828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42974 (or 42966 counting only the distinct ones).

The product of its digits is 6553600, while the sum is 54.

The square root of 8285445828 is about 91024.4243486329. The cubic root of 8285445828 is about 2023.5097161256.

The spelling of 8285445828 in words is "eight billion, two hundred eighty-five million, four hundred forty-five thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 163 198 297 326 396 489 594 652 978 1188 1467 1793 1956 2934 3586 4401 5379 5868 7172 8802 10758 16137 17604 21516 32274 42787 48411 64548 85574 96822 128361 171148 193644 256722 385083 470657 513444 770166 941314 1155249 1411971 1540332 1882628 2310498 2823942 4235913 4620996 5647884 6974281 8471826 12707739 13948562 16943652 20922843 25415478 27897124 41845686 50830956 62768529 76717091 83691372 125537058 153434182 188305587 230151273 251074116 306868364 376611174 460302546 690453819 753222348 920605092 1380907638 2071361457 2761815276 4142722914 8285445828