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4086230832 = 2432432103149
BaseRepresentation
bin1111001110001110…
…1110111100110000
3101112202222000220200
43303203232330300
531332033341312
61513250035200
7203155250265
oct36343567460
911482860820
104086230832
111807630782
12960578b00
13501753b88
142aa99d26c
1518db0a0dc
hexf38eef30

4086230832 has 180 divisors, whose sum is σ = 11900912400. Its totient is φ = 1308642048.

The previous prime is 4086230821. The next prime is 4086230833. The reversal of 4086230832 is 2380326804.

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 (4086230833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27424294 + ... + 27424442.

It is an arithmetic number, because the mean of its divisors is an integer number (66116180).

Almost surely, 24086230832 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 4086230832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5950456200).

4086230832 is an abundant number, since it is smaller than the sum of its proper divisors (7814681568).

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

4086230832 is a wasteful number, since it uses less digits than its factorization.

4086230832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4086230832 is about 63923.6328129120. The cubic root of 4086230832 is about 1598.7269602915.

The spelling of 4086230832 in words is "four billion, eighty-six million, two hundred thirty thousand, eight hundred thirty-two".