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5483540400 = 243521317232931
BaseRepresentation
bin1010001101101100…
…00010111110110000
3112011011020201021220
411012312002332300
542212241243100
62304043145040
7252613216152
oct50666027660
915134221256
105483540400
112364352078
121090515180
1369509cb80
143a03b0ad2
1522161caa0
hex146d82fb0

5483540400 has 960 divisors, whose sum is σ = 22318571520. Its totient is φ = 1135411200.

The previous prime is 5483540393. The next prime is 5483540407. The reversal of 5483540400 is 40453845.

It is an interprime number because it is at equal distance from previous prime (5483540393) and next prime (5483540407).

It is not an unprimeable number, because it can be changed into a prime (5483540407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 176888385 + ... + 176888415.

It is an arithmetic number, because the mean of its divisors is an integer number (23248512).

Almost surely, 25483540400 is an apocalyptic number.

5483540400 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 5483540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11159285760).

5483540400 is an abundant number, since it is smaller than the sum of its proper divisors (16835031120).

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

5483540400 is a wasteful number, since it uses less digits than its factorization.

5483540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 5483540400 is about 74050.9311217624. The cubic root of 5483540400 is about 1763.4115560306.

The spelling of 5483540400 in words is "five billion, four hundred eighty-three million, five hundred forty thousand, four hundred".