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4412397132 = 223311213191367
BaseRepresentation
bin1000001101111111…
…11101011001001100
3102101111200222222000
410012333331121030
533014033202012
62005500552300
7214225520403
oct40677753114
912344628860
104412397132
111964757300
12a31852690
135541b39a0
142dc02463a
151ac586ddc
hex106ffd64c

4412397132 has 288 divisors, whose sum is σ = 14264409600. Its totient is φ = 1168421760.

The previous prime is 4412397097. The next prime is 4412397139. The reversal of 4412397132 is 2317932144.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4412397139) 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 95 ways as a sum of consecutive naturals, for example, 3227113 + ... + 3228479.

It is an arithmetic number, because the mean of its divisors is an integer number (49529200).

Almost surely, 24412397132 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 4412397132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132204800).

4412397132 is an abundant number, since it is smaller than the sum of its proper divisors (9852012468).

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

4412397132 is a wasteful number, since it uses less digits than its factorization.

4412397132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1415 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 4412397132 is about 66425.8769757690. The cubic root of 4412397132 is about 1640.1800729299.

The spelling of 4412397132 in words is "four billion, four hundred twelve million, three hundred ninety-seven thousand, one hundred thirty-two".