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4494003840 = 273252712879
BaseRepresentation
bin1000010111101110…
…10000111010000000
3102121012021001022200
410023313100322000
533200431110330
62021534033200
7216236255004
oct41367207200
912535231280
104494003840
1119a6825667
12a55048800
13568087491
14308bc8704
151b4806a60
hex10bdd0e80

4494003840 has 192 divisors, whose sum is σ = 15581030400. Its totient is φ = 1193564160.

The previous prime is 4494003791. The next prime is 4494003847. The reversal of 4494003840 is 483004944.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 4494003795 and 4494003804.

It is not an unprimeable number, because it can be changed into a prime (4494003847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1559521 + ... + 1562399.

It is an arithmetic number, because the mean of its divisors is an integer number (81151200).

Almost surely, 24494003840 is an apocalyptic number.

4494003840 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 4494003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7790515200).

4494003840 is an abundant number, since it is smaller than the sum of its proper divisors (11087026560).

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

4494003840 is a wasteful number, since it uses less digits than its factorization.

4494003840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3175 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4494003840 is about 67037.3316891417. The cubic root of 4494003840 is about 1650.2300065036.

The spelling of 4494003840 in words is "four billion, four hundred ninety-four million, three thousand, eight hundred forty".