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4098886848 = 26337248409
BaseRepresentation
bin1111010001010000…
…0000110011000000
3101120122210000201000
43310110000303000
531343303334343
61514421212000
7203400651300
oct36424006300
911518700630
104098886848
1118137953a1
12964861000
13504265644
142ac535600
1518eca9ed3
hexf4500cc0

4098886848 has 168 divisors, whose sum is σ = 14017599600. Its totient is φ = 1171086336.

The previous prime is 4098886819. The next prime is 4098886919. The reversal of 4098886848 is 8486888904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 60468 + ... + 108876.

Almost surely, 24098886848 is an apocalyptic number.

4098886848 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 4098886848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7008799800).

4098886848 is an abundant number, since it is smaller than the sum of its proper divisors (9918712752).

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

4098886848 is a wasteful number, since it uses less digits than its factorization.

4098886848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48444 (or 48421 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 63.

The square root of 4098886848 is about 64022.5495274907. The cubic root of 4098886848 is about 1600.3758033921.

The spelling of 4098886848 in words is "four billion, ninety-eight million, eight hundred eighty-six thousand, eight hundred forty-eight".