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546809640 = 233513259457
BaseRepresentation
bin100000100101111…
…010011100101000
31102002220210210220
4200211322130220
52104440402030
6130132010040
716356543126
oct4045723450
91362823726
10546809640
112607291a3
12133160920
1389394300
145289c916
1533012a10
hex2097a728

546809640 has 192 divisors, whose sum is σ = 1810382400. Its totient is φ = 132028416.

The previous prime is 546809623. The next prime is 546809647. The reversal of 546809640 is 46908645.

It is a junction number, because it is equal to n+sod(n) for n = 546809592 and 546809601.

It is not an unprimeable number, because it can be changed into a prime (546809647) 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 47 ways as a sum of consecutive naturals, for example, 1196292 + ... + 1196748.

It is an arithmetic number, because the mean of its divisors is an integer number (9429075).

Almost surely, 2546809640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 546809640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905191200).

546809640 is an abundant number, since it is smaller than the sum of its proper divisors (1263572760).

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

546809640 is a wasteful number, since it uses less digits than its factorization.

546809640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 546809640 is about 23383.9611699986. The cubic root of 546809640 is about 817.7339976749.

The spelling of 546809640 in words is "five hundred forty-six million, eight hundred nine thousand, six hundred forty".