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3989358432 = 253379211277
BaseRepresentation
bin1110110111001000…
…1100011101100000
3101022000200101222000
43231302030131200
531132233432212
61455505444000
7200600662413
oct35562143540
911260611860
103989358432
111767986044
12934040600
134b7666b27
1429bb83b7a
151853721dc
hexedc8c760

3989358432 has 192 divisors, whose sum is σ = 11881497600. Its totient is φ = 1302013440.

The previous prime is 3989358419. The next prime is 3989358433. The reversal of 3989358432 is 2348539893.

It is a happy number.

3989358432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3989358433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14401878 + ... + 14402154.

It is an arithmetic number, because the mean of its divisors is an integer number (61882800).

Almost surely, 23989358432 is an apocalyptic number.

3989358432 is a gapful number since it is divisible by the number (32) 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 3989358432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5940748800).

3989358432 is an abundant number, since it is smaller than the sum of its proper divisors (7892139168).

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

3989358432 is a wasteful number, since it uses less digits than its factorization.

3989358432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 572 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 3989358432 is about 63161.3681929073. The cubic root of 3989358432 is about 1585.9920987528.

The spelling of 3989358432 in words is "three billion, nine hundred eighty-nine million, three hundred fifty-eight thousand, four hundred thirty-two".