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5432442400 = 2552711293041
BaseRepresentation
bin1010000111100110…
…00111111000100000
3112000121002200000101
411003303013320200
542111201124100
62255020032144
7251422666330
oct50363077040
915017080011
105432442400
112338521420
121077392654
1368761ba78
143976ad0c0
1521bdc786a
hex143cc7e20

5432442400 has 288 divisors, whose sum is σ = 17110154880. Its totient is φ = 1634304000.

The previous prime is 5432442397. The next prime is 5432442403. The reversal of 5432442400 is 42442345.

It is an interprime number because it is at equal distance from previous prime (5432442397) and next prime (5432442403).

It is a super-2 number, since 2×54324424002 = 59022860858635520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (5432442403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1784880 + ... + 1787920.

It is an arithmetic number, because the mean of its divisors is an integer number (59410260).

Almost surely, 25432442400 is an apocalyptic number.

5432442400 is a gapful number since it is divisible by the number (50) 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 5432442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8555077440).

5432442400 is an abundant number, since it is smaller than the sum of its proper divisors (11677712480).

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

5432442400 is a wasteful number, since it uses less digits than its factorization.

5432442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

The square root of 5432442400 is about 73705.1043008556. The cubic root of 5432442400 is about 1757.9170433731.

Adding to 5432442400 its reverse (42442345), we get a palindrome (5474884745).

The spelling of 5432442400 in words is "five billion, four hundred thirty-two million, four hundred forty-two thousand, four hundred".