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4482463104 = 273373143139
BaseRepresentation
bin1000010110010110…
…01111010110000000
3102120101112201102000
410023023033112000
533140002304404
62020442424000
7216036210360
oct41313172600
912511481360
104482463104
1119a0262969
12a51202000
13565876542
143074629a0
151b37c7339
hex10b2cf580

4482463104 has 512 divisors, whose sum is σ = 16084992000. Its totient is φ = 1201858560.

The previous prime is 4482463103. The next prime is 4482463163. The reversal of 4482463104 is 4013642844.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4482463103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32247867 + ... + 32248005.

It is an arithmetic number, because the mean of its divisors is an integer number (31416000).

Almost surely, 24482463104 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 4482463104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8042496000).

4482463104 is an abundant number, since it is smaller than the sum of its proper divisors (11602528896).

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

4482463104 is a wasteful number, since it uses less digits than its factorization.

4482463104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4482463104 is about 66951.1994216683. The cubic root of 4482463104 is about 1648.8161822599.

The spelling of 4482463104 in words is "four billion, four hundred eighty-two million, four hundred sixty-three thousand, one hundred four".