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484067232 = 25331131253
BaseRepresentation
bin11100110110100…
…100011110100000
31020201212011102000
4130312210132200
51442410122412
6120011124000
714665334505
oct3466443640
91221764360
10484067232
11229274970
12116143600
137939701c
14484094ac
152c76c4dc
hex1cda47a0

484067232 has 288 divisors, whose sum is σ = 1621529280. Its totient is φ = 139276800.

The previous prime is 484067203. The next prime is 484067249. The reversal of 484067232 is 232760484.

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

It is a super-3 number, since 3×4840672323 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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, 9133318 + ... + 9133370.

It is an arithmetic number, because the mean of its divisors is an integer number (5630310).

Almost surely, 2484067232 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 484067232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810764640).

484067232 is an abundant number, since it is smaller than the sum of its proper divisors (1137462048).

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

484067232 is a wasteful number, since it uses less digits than its factorization.

484067232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 484067232 is about 22001.5279469404. The cubic root of 484067232 is about 785.1787938450.

The spelling of 484067232 in words is "four hundred eighty-four million, sixty-seven thousand, two hundred thirty-two".