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4086640404 = 223371117137211
BaseRepresentation
bin1111001110010101…
…0010111100010100
3101112210201211202000
43303211102330110
531332134443104
61513302515300
7203161604340
oct36345227424
911483654660
104086640404
111807890470
12960735b30
13501868422
142aaa68620
1518db8b639
hexf3952f14

4086640404 has 384 divisors, whose sum is σ = 14155223040. Its totient is φ = 987033600.

The previous prime is 4086640399. The next prime is 4086640409. The reversal of 4086640404 is 4040466804.

4086640404 is a `hidden beast` number, since 4 + 0 + 8 + 6 + 640 + 4 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4086640399) and next prime (4086640409).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4086640409) 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 127 ways as a sum of consecutive naturals, for example, 19367859 + ... + 19368069.

It is an arithmetic number, because the mean of its divisors is an integer number (36862560).

Almost surely, 24086640404 is an apocalyptic number.

4086640404 is a gapful number since it is divisible by the number (44) 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 4086640404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7077611520).

4086640404 is an abundant number, since it is smaller than the sum of its proper divisors (10068582636).

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

4086640404 is a wasteful number, since it uses less digits than its factorization.

4086640404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4086640404 is about 63926.8363365496. The cubic root of 4086640404 is about 1598.7803731594.

The spelling of 4086640404 in words is "four billion, eighty-six million, six hundred forty thousand, four hundred four".