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5322054400 = 285213471361
BaseRepresentation
bin1001111010011100…
…00001101100000000
3111201220101101010221
410331032001230000
541344421220100
62240034032424
7245612500405
oct47516015400
914656341127
105322054400
112291185273
121046418714
1366a7abc20
14386b762ac
1521237001a
hex13d381b00

5322054400 has 216 divisors, whose sum is σ = 14498697024. Its totient is φ = 1921843200.

The previous prime is 5322054377. The next prime is 5322054407. The reversal of 5322054400 is 44502235.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5322054407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3909720 + ... + 3911080.

Almost surely, 25322054400 is an apocalyptic number.

5322054400 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 5322054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7249348512).

5322054400 is an abundant number, since it is smaller than the sum of its proper divisors (9176642624).

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

5322054400 is a wasteful number, since it uses less digits than its factorization.

5322054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 5322054400 is about 72952.4118861056. The cubic root of 5322054400 is about 1745.9284282548.

Adding to 5322054400 its reverse (44502235), we get a palindrome (5366556635).

The spelling of 5322054400 in words is "five billion, three hundred twenty-two million, fifty-four thousand, four hundred".