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8490011382 = 2335359137367
BaseRepresentation
bin1111110100000101…
…10100101011110110
3210220200110021011000
413322002310223312
5114341420331012
63522242224130
7420250622526
oct77202645366
923820407130
108490011382
113667432236
12178b355046
13a53c0b898
145a77bd686
1534a53dddc
hex1fa0b4af6

8490011382 has 128 divisors (see below), whose sum is σ = 19744819200. Its totient is φ = 2702239488.

The previous prime is 8490011363. The next prime is 8490011389. The reversal of 8490011382 is 2831100948.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8490011389) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 23133363 + ... + 23133729.

It is an arithmetic number, because the mean of its divisors is an integer number (154256400).

Almost surely, 28490011382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8490011382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9872409600).

8490011382 is an abundant number, since it is smaller than the sum of its proper divisors (11254807818).

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

8490011382 is a wasteful number, since it uses less digits than its factorization.

8490011382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8490011382 is about 92141.2577621990. The cubic root of 8490011382 is about 2040.0278240150.

The spelling of 8490011382 in words is "eight billion, four hundred ninety million, eleven thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 53 54 59 106 118 137 159 177 274 318 354 367 411 477 531 734 822 954 1062 1101 1233 1431 1593 2202 2466 2862 3127 3186 3303 3699 6254 6606 7261 7398 8083 9381 9909 14522 16166 18762 19451 19818 21653 21783 24249 28143 38902 43306 43566 48498 50279 56286 58353 64959 65349 72747 84429 100558 116706 129918 130698 145494 150837 168858 175059 194877 196047 218241 301674 350118 389754 392094 428399 436482 452511 525177 584631 856798 905022 1050354 1147609 1169262 1285197 1357533 2295218 2570394 2664787 2715066 2966461 3442827 3855591 5329574 5932922 6885654 7711182 7994361 8899383 10328481 11566773 15988722 17798766 20656962 23133546 23983083 26698149 30985443 47966166 53396298 61970886 71949249 80094447 143898498 157222433 160188894 314444866 471667299 943334598 1415001897 2830003794 4245005691 8490011382