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4232632320 = 21131057
BaseRepresentation
bin1111110001001000…
…1101100000000000
3101220222110000000000
43330102031200000
532132023213240
61540000000000
7206613531630
oct37422154000
911828400000
104232632320
111882235344
129a1600000
13525b92b87
142c21cc6c0
1519b8c8430
hexfc48d800

4232632320 has 528 divisors, whose sum is σ = 17409908880. Its totient is φ = 967458816.

The previous prime is 4232632319. The next prime is 4232632357. The reversal of 4232632320 is 232362324.

4232632320 is a `hidden beast` number, since 4 + 2 + 3 + 2 + 632 + 3 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 604661757 + ... + 604661763.

Almost surely, 24232632320 is an apocalyptic number.

4232632320 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 4232632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8704954440).

4232632320 is an abundant number, since it is smaller than the sum of its proper divisors (13177276560).

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

4232632320 is an frugal number, since it uses more digits than its factorization.

4232632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 4232632320 is about 65058.6836632897. The cubic root of 4232632320 is about 1617.5964356392.

Adding to 4232632320 its reverse (232362324), we get a palindrome (4464994644).

The spelling of 4232632320 in words is "four billion, two hundred thirty-two million, six hundred thirty-two thousand, three hundred twenty".