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4089666240 = 2633511371163
BaseRepresentation
bin1111001111000011…
…0101101011000000
3101120000102120102000
43303300311223000
531333423304430
61513451424000
7203226406122
oct36360655300
911500376360
104089666240
111809567860
12961755000
1350238776a
142ab215212
1518e087e60
hexf3c35ac0

4089666240 has 448 divisors, whose sum is σ = 16178296320. Its totient is φ = 963809280.

The previous prime is 4089666211. The next prime is 4089666247. The reversal of 4089666240 is 426669804.

4089666240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4089666247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3515899 + ... + 3517061.

Almost surely, 24089666240 is an apocalyptic number.

4089666240 is a gapful number since it is divisible by the number (40) 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 4089666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8089148160).

4089666240 is an abundant number, since it is smaller than the sum of its proper divisors (12088630080).

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

4089666240 is a wasteful number, since it uses less digits than its factorization.

4089666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4089666240 is about 63950.4983561504. The cubic root of 4089666240 is about 1599.1748662112.

The spelling of 4089666240 in words is "four billion, eighty-nine million, six hundred sixty-six thousand, two hundred forty".