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4494555648 = 29331122687
BaseRepresentation
bin1000010111110010…
…10111101000000000
3102121020022002021000
410023321113220000
533201101240043
62021553532000
7216244043532
oct41371275000
912536262230
104494555648
1119a7072200
12a55274000
1356821b6ab
14308ccd852
151b48b52d3
hex10be57a00

4494555648 has 240 divisors, whose sum is σ = 14629063680. Its totient is φ = 1361479680.

The previous prime is 4494555641. The next prime is 4494555673. The reversal of 4494555648 is 8465554944.

It is a happy number.

4494555648 is a `hidden beast` number, since 4 + 4 + 9 + 45 + 556 + 48 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4494555594 and 4494555603.

It is not an unprimeable number, because it can be changed into a prime (4494555641) 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, 1671361 + ... + 1674047.

It is an arithmetic number, because the mean of its divisors is an integer number (60954432).

Almost surely, 24494555648 is an apocalyptic number.

4494555648 is a gapful number since it is divisible by the number (48) 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 4494555648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7314531840).

4494555648 is an abundant number, since it is smaller than the sum of its proper divisors (10134508032).

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

4494555648 is a wasteful number, since it uses less digits than its factorization.

4494555648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736 (or 2703 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 54.

The square root of 4494555648 is about 67041.4472397486. The cubic root of 4494555648 is about 1650.2975463399.

The spelling of 4494555648 in words is "four billion, four hundred ninety-four million, five hundred fifty-five thousand, six hundred forty-eight".