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4431091392 = 263571331101
BaseRepresentation
bin1000010000001110…
…10001011011000000
3102102210212202200000
410020013101123000
533033324411032
62011405400000
7214543440540
oct41007213300
912383782600
104431091392
111974265602
12a37b69000
1355802a990
143006cd320
151ae02ae7c
hex1081d16c0

4431091392 has 672 divisors, whose sum is σ = 16899477504. Its totient is φ = 1119744000.

The previous prime is 4431091387. The next prime is 4431091397. The reversal of 4431091392 is 2931901344.

It is an interprime number because it is at equal distance from previous prime (4431091387) and next prime (4431091397).

It is a tau number, because it is divible by the number of its divisors (672).

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 (4431091397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43872142 + ... + 43872242.

It is an arithmetic number, because the mean of its divisors is an integer number (25148032).

Almost surely, 24431091392 is an apocalyptic number.

4431091392 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 4431091392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8449738752).

4431091392 is an abundant number, since it is smaller than the sum of its proper divisors (12468386112).

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

4431091392 is a wasteful number, since it uses less digits than its factorization.

4431091392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 4431091392 is about 66566.4434381168. The cubic root of 4431091392 is about 1642.4931581625.

The spelling of 4431091392 in words is "four billion, four hundred thirty-one million, ninety-one thousand, three hundred ninety-two".