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546312096 = 253211261257
BaseRepresentation
bin100000100100000…
…000111110100000
31102001222112022100
4200210000332200
52104323441341
6130113210400
716352401431
oct4044007640
91361875270
10546312096
11260419400
12132b60a00
138924b9c5
14527ad488
1532e653b6
hex20900fa0

546312096 has 216 divisors, whose sum is σ = 1742396292. Its totient is φ = 162201600.

The previous prime is 546312061. The next prime is 546312133. The reversal of 546312096 is 690213645.

It is a happy number.

546312096 is a `hidden beast` number, since 546 + 3 + 1 + 20 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 545876496 + 435600 = 23364^2 + 660^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 546312096.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2125600 + ... + 2125856.

Almost surely, 2546312096 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 546312096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871198146).

546312096 is an abundant number, since it is smaller than the sum of its proper divisors (1196084196).

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

546312096 is a wasteful number, since it uses less digits than its factorization.

546312096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 546312096 is about 23373.3201749345. The cubic root of 546312096 is about 817.4859027393.

The spelling of 546312096 in words is "five hundred forty-six million, three hundred twelve thousand, ninety-six".