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5382450000 = 243555443
BaseRepresentation
bin1010000001101000…
…11010101101010000
3111220010000210100000
411000310122231100
542010401400000
62250032330000
7250245033024
oct50064325520
914803023300
105382450000
112312286394
1210626a3900
1367a166c75
14390bb8384
15217800000
hex140d1ab50

5382450000 has 360 divisors, whose sum is σ = 19569434976. Its totient is φ = 1432080000.

The previous prime is 5382449993. The next prime is 5382450001. The reversal of 5382450000 is 542835.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5382450001) 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 71 ways as a sum of consecutive naturals, for example, 12149779 + ... + 12150221.

Almost surely, 25382450000 is an apocalyptic number.

5382450000 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 5382450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9784717488).

5382450000 is an abundant number, since it is smaller than the sum of its proper divisors (14186984976).

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

5382450000 is an frugal number, since it uses more digits than its factorization.

5382450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5382450000 is about 73365.1824777939. The cubic root of 5382450000 is about 1752.5079686764.

Adding to 5382450000 its reverse (542835), we get a palindrome (5382992835).

The spelling of 5382450000 in words is "five billion, three hundred eighty-two million, four hundred fifty thousand".