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543272400 = 2433521117269
BaseRepresentation
bin100000011000011…
…010110111010000
31101212021002122000
4200120122313100
52103034204100
6125524114000
716314511356
oct4030326720
91355232560
10543272400
11259732660
12131b35900
1388726278
145221b7d6
1532a64900
hex2061add0

543272400 has 480 divisors, whose sum is σ = 2241820800. Its totient is φ = 123494400.

The previous prime is 543272393. The next prime is 543272407. The reversal of 543272400 is 4272345.

It is an interprime number because it is at equal distance from previous prime (543272393) and next prime (543272407).

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 (543272407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2019466 + ... + 2019734.

It is an arithmetic number, because the mean of its divisors is an integer number (4670460).

Almost surely, 2543272400 is an apocalyptic number.

543272400 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 543272400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120910400).

543272400 is an abundant number, since it is smaller than the sum of its proper divisors (1698548400).

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

543272400 is a wasteful number, since it uses less digits than its factorization.

543272400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 543272400 is about 23308.2045640586. The cubic root of 543272400 is about 815.9669104229.

The spelling of 543272400 in words is "five hundred forty-three million, two hundred seventy-two thousand, four hundred".