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4089601808 = 24291492397
BaseRepresentation
bin1111001111000010…
…0101111100010000
3101120000022022000122
43303300211330100
531333414224213
61513450205412
7203226020225
oct36360457420
911500268018
104089601808
111809523406
12961723868
13502364336
142ab1d994c
1518e073d08
hexf3c25f10

4089601808 has 60 divisors (see below), whose sum is σ = 8272999140. Its totient is φ = 1956100608.

The previous prime is 4089601777. The next prime is 4089601849. The reversal of 4089601808 is 8081069804.

It is a happy number.

4089601808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 447237904 + 3642363904 = 21148^2 + 60352^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10301066 + ... + 10301462.

It is an arithmetic number, because the mean of its divisors is an integer number (137883319).

Almost surely, 24089601808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4089601808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136499570).

4089601808 is an abundant number, since it is smaller than the sum of its proper divisors (4183397332).

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

4089601808 is a wasteful number, since it uses less digits than its factorization.

4089601808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 44.

The square root of 4089601808 is about 63949.9945895228. The cubic root of 4089601808 is about 1599.1664679239.

The spelling of 4089601808 in words is "four billion, eighty-nine million, six hundred one thousand, eight hundred eight".

Divisors: 1 2 4 8 16 29 58 116 149 232 298 397 464 596 794 1192 1588 2384 3176 4321 6352 8642 11513 17284 22201 23026 34568 44402 46052 59153 69136 88804 92104 118306 177608 184208 236612 355216 473224 643829 946448 1287658 1715437 2575316 3430874 5150632 6861748 8813797 10301264 13723496 17627594 27446992 35255188 70510376 141020752 255600113 511200226 1022400452 2044800904 4089601808