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4032256032 = 25337739133
BaseRepresentation
bin1111000001010111…
…0101100000100000
3101102000101211102000
43300111311200200
531224224143112
61504041124000
7201631416330
oct36025654040
911360354360
104032256032
11178a115702
12946489600
134c350651c
142a374d0c0
15188ee77dc
hexf0575820

4032256032 has 192 divisors, whose sum is σ = 13626466560. Its totient is φ = 1136166912.

The previous prime is 4032256031. The next prime is 4032256079. The reversal of 4032256032 is 2306522304.

4032256032 is a `hidden beast` number, since 4 + 0 + 32 + 25 + 603 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4032255987 and 4032256005.

It is not an unprimeable number, because it can be changed into a prime (4032256031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436938 + ... + 446070.

It is an arithmetic number, because the mean of its divisors is an integer number (70971180).

Almost surely, 24032256032 is an apocalyptic number.

4032256032 is a gapful number since it is divisible by the number (42) 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 4032256032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6813233280).

4032256032 is an abundant number, since it is smaller than the sum of its proper divisors (9594210528).

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

4032256032 is a wasteful number, since it uses less digits than its factorization.

4032256032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9232 (or 9218 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 4032256032 is about 63500.0474960452. The cubic root of 4032256032 is about 1591.6565717965.

Adding to 4032256032 its reverse (2306522304), we get a palindrome (6338778336).

The spelling of 4032256032 in words is "four billion, thirty-two million, two hundred fifty-six thousand, thirty-two".