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546324480 = 2143351319
BaseRepresentation
bin100000100100000…
…100000000000000
31102002000011022000
4200210010000000
52104324340410
6130113344000
716352452512
oct4044040000
91362004260
10546324480
11260427739
12132b68000
1389254530
14527b3bb2
1532e68dc0
hex20904000

546324480 has 480 divisors, whose sum is σ = 2201942400. Its totient is φ = 127401984.

The previous prime is 546324419. The next prime is 546324487. The reversal of 546324480 is 84423645.

546324480 is a `hidden beast` number, since 546 + 32 + 4 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (546324487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28753911 + ... + 28753929.

It is an arithmetic number, because the mean of its divisors is an integer number (4587380).

Almost surely, 2546324480 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 546324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100971200).

546324480 is an abundant number, since it is smaller than the sum of its proper divisors (1655617920).

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

546324480 is a wasteful number, since it uses less digits than its factorization.

546324480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 546324480 is about 23373.5850908670. The cubic root of 546324480 is about 817.4920797145.

The spelling of 546324480 in words is "five hundred forty-six million, three hundred twenty-four thousand, four hundred eighty".