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4021805088 = 2533719311129
BaseRepresentation
bin1110111110110111…
…1110000000100000
3101101021201212102000
43233231332000200
531214040230323
61503025124000
7201443531160
oct35755760040
911337655360
104021805088
111784227764
12942a89600
134c12b7632
142a21cc5a0
15188130e43
hexefb7e020

4021805088 has 384 divisors, whose sum is σ = 14579712000. Its totient is φ = 1052559360.

The previous prime is 4021805083. The next prime is 4021805131. The reversal of 4021805088 is 8805081204.

It is a super-4 number, since 4×40218050884 (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4021805083) 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 63 ways as a sum of consecutive naturals, for example, 3561708 + ... + 3562836.

It is an arithmetic number, because the mean of its divisors is an integer number (37968000).

Almost surely, 24021805088 is an apocalyptic number.

4021805088 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 4021805088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7289856000).

4021805088 is an abundant number, since it is smaller than the sum of its proper divisors (10557906912).

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

4021805088 is a wasteful number, since it uses less digits than its factorization.

4021805088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 4021805088 is about 63417.7032696707. The cubic root of 4021805088 is about 1590.2802781096.

The spelling of 4021805088 in words is "four billion, twenty-one million, eight hundred five thousand, eighty-eight".