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423861984 = 2535713599
BaseRepresentation
bin11001010000111…
…001111011100000
31002112120102100000
4121100321323200
51332002040414
6110020500000
713334524140
oct3120717340
91075512300
10423861984
111a8293867
12b9b4a600
1369a77810
1440416920
1527328b09
hex19439ee0

423861984 has 288 divisors, whose sum is σ = 1541030400. Its totient is φ = 111601152.

The previous prime is 423861979. The next prime is 423862001. The reversal of 423861984 is 489168324.

It is a happy number.

423861984 is a `hidden beast` number, since 4 + 23 + 8 + 619 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707317 + ... + 707915.

It is an arithmetic number, because the mean of its divisors is an integer number (5350800).

Almost surely, 2423861984 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 423861984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770515200).

423861984 is an abundant number, since it is smaller than the sum of its proper divisors (1117168416).

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

423861984 is a wasteful number, since it uses less digits than its factorization.

423861984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 624 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 423861984 is about 20587.9086844682. The cubic root of 423861984 is about 751.1756282348.

The spelling of 423861984 in words is "four hundred twenty-three million, eight hundred sixty-one thousand, nine hundred eighty-four".