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4461240960 = 2732511237173
BaseRepresentation
bin1000010011110100…
…10010001010000000
3102111220121112002200
410021322102022000
533114034202320
62014403513200
7215360631261
oct41172221200
912456545080
104461240960
11198a288400
12a46088800
13561355a67
143046da968
151b19d4290
hex109e92280

4461240960 has 576 divisors, whose sum is σ = 17491186440. Its totient is φ = 1046200320.

The previous prime is 4461240947. The next prime is 4461240961. The reversal of 4461240960 is 690421644.

4461240960 is a `hidden beast` number, since 446 + 124 + 0 + 96 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4461171264 + 69696 = 66792^2 + 264^2 .

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (4461240961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25787434 + ... + 25787606.

Almost surely, 24461240960 is an apocalyptic number.

4461240960 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 4461240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8745593220).

4461240960 is an abundant number, since it is smaller than the sum of its proper divisors (13029945480).

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

4461240960 is a wasteful number, since it uses less digits than its factorization.

4461240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4461240960 is about 66792.5217370927. The cubic root of 4461240960 is about 1646.2099676686.

The spelling of 4461240960 in words is "four billion, four hundred sixty-one million, two hundred forty thousand, nine hundred sixty".