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4080395088 = 2434711311319
BaseRepresentation
bin1111001100110101…
…1110001101010000
3101112100222112210000
43303031132031100
531324040120323
61512521010000
7203054533410
oct36315361520
911470875700
104080395088
111804305250
1295a623900
1350048c883
142a9cc0640
1518d355e43
hexf335e350

4080395088 has 400 divisors, whose sum is σ = 15210455040. Its totient is φ = 1024876800.

The previous prime is 4080395069. The next prime is 4080395089. The reversal of 4080395088 is 8805930804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4080395089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3092893 + ... + 3094211.

Almost surely, 24080395088 is an apocalyptic number.

4080395088 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 4080395088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7605227520).

4080395088 is an abundant number, since it is smaller than the sum of its proper divisors (11130059952).

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

4080395088 is a wasteful number, since it uses less digits than its factorization.

4080395088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 4080395088 is about 63877.9702871029. The cubic root of 4080395088 is about 1597.9655245817.

The spelling of 4080395088 in words is "four billion, eighty million, three hundred ninety-five thousand, eighty-eight".