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4432232640 = 263511974327
BaseRepresentation
bin1000010000010111…
…01000000011000000
3102102220000202011110
410020023220003000
533034122421030
62011450043320
7214556233023
oct41013500300
912386022143
104432232640
111974974a90
12a38419540
1355833a284
143009091ba
151ae1a41b0
hex1082e80c0

4432232640 has 224 divisors, whose sum is σ = 15513490944. Its totient is φ = 1063157760.

The previous prime is 4432232579. The next prime is 4432232659. The reversal of 4432232640 is 462322344.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4432232598 and 4432232607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1022157 + ... + 1026483.

It is an arithmetic number, because the mean of its divisors is an integer number (69256656).

Almost surely, 24432232640 is an apocalyptic number.

4432232640 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 4432232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7756745472).

4432232640 is an abundant number, since it is smaller than the sum of its proper divisors (11081258304).

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

4432232640 is a wasteful number, since it uses less digits than its factorization.

4432232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4455 (or 4445 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 4432232640 is about 66575.0151333066. The cubic root of 4432232640 is about 1642.6341566180.

Adding to 4432232640 its reverse (462322344), we get a palindrome (4894554984).

The spelling of 4432232640 in words is "four billion, four hundred thirty-two million, two hundred thirty-two thousand, six hundred forty".