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4482051840 = 28335797191
BaseRepresentation
bin1000010110010011…
…01010111100000000
3102120100202211021000
410023021222330000
533134401124330
62020425532000
7216032545350
oct41311527400
912510684230
104482051840
1119a0001982
12a51044000
135657612a6
14307396b60
151b3745560
hex10b26af00

4482051840 has 576 divisors, whose sum is σ = 18460753920. Its totient is φ = 1008599040.

The previous prime is 4482051829. The next prime is 4482051841. The reversal of 4482051840 is 481502844.

4482051840 is a `hidden beast` number, since 448 + 205 + 1 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 4482051795 and 4482051804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4482051841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23466145 + ... + 23466335.

It is an arithmetic number, because the mean of its divisors is an integer number (32049920).

Almost surely, 24482051840 is an apocalyptic number.

4482051840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4482051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9230376960).

4482051840 is an abundant number, since it is smaller than the sum of its proper divisors (13978702080).

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

4482051840 is a wasteful number, since it uses less digits than its factorization.

4482051840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 4482051840 is about 66948.1279798024. The cubic root of 4482051840 is about 1648.7657546667.

The spelling of 4482051840 in words is "four billion, four hundred eighty-two million, fifty-one thousand, eight hundred forty".