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4495938048 = 2934717911
BaseRepresentation
bin1000010111111101…
…01001001000000000
3102121022220022120000
410023332221020000
533201430004143
62022043320000
7216261562050
oct41376511000
912538808500
104495938048
1119a7926888
12a55820000
135685b3994
1430916d560
151b4a89bd3
hex10bfa9200

4495938048 has 400 divisors, whose sum is σ = 16256173824. Its totient is φ = 1207664640.

The previous prime is 4495938047. The next prime is 4495938053. The reversal of 4495938048 is 8408395944.

4495938048 is a `hidden beast` number, since 4 + 4 + 9 + 593 + 8 + 0 + 48 = 666.

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 = 4495937985 and 4495938003.

It is not an unprimeable number, because it can be changed into a prime (4495938047) 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 39 ways as a sum of consecutive naturals, for example, 4934713 + ... + 4935623.

Almost surely, 24495938048 is an apocalyptic number.

4495938048 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 4495938048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8128086912).

4495938048 is an abundant number, since it is smaller than the sum of its proper divisors (11760235776).

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

4495938048 is an equidigital number, since it uses as much as digits as its factorization.

4495938048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 4495938048 is about 67051.7564870601. The cubic root of 4495938048 is about 1650.4667241668.

The spelling of 4495938048 in words is "four billion, four hundred ninety-five million, nine hundred thirty-eight thousand, forty-eight".