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84181384 = 23753113251
BaseRepresentation
bin1010000010010…
…00000110001000
312212101212011001
411001020012020
5133022301014
612204144344
72041346530
oct501100610
9185355131
1084181384
11435777a1
12242380b4
1314595691
14b2744c0
1575cc974
hex5048188

84181384 has 64 divisors (see below), whose sum is σ = 186157440. Its totient is φ = 34944000.

The previous prime is 84181369. The next prime is 84181387. The reversal of 84181384 is 48318148.

It is not an unprimeable number, because it can be changed into a prime (84181387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335259 + ... + 335509.

It is an arithmetic number, because the mean of its divisors is an integer number (2908710).

Almost surely, 284181384 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 84181384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93078720).

84181384 is an abundant number, since it is smaller than the sum of its proper divisors (101976056).

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

84181384 is a wasteful number, since it uses less digits than its factorization.

84181384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 426 counting only the distinct ones).

The product of its digits is 24576, while the sum is 37.

The square root of 84181384 is about 9175.0413623046. The cubic root of 84181384 is about 438.2669154219.

The spelling of 84181384 in words is "eighty-four million, one hundred eighty-one thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 53 56 106 113 212 226 251 371 424 452 502 742 791 904 1004 1484 1582 1757 2008 2968 3164 3514 5989 6328 7028 11978 13303 14056 23956 26606 28363 41923 47912 53212 56726 83846 93121 106424 113452 167692 186242 198541 226904 335384 372484 397082 744968 794164 1503239 1588328 3006478 6012956 10522673 12025912 21045346 42090692 84181384