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545466564 = 223259673833
BaseRepresentation
bin100000100000110…
…010100011000100
31102000101120110100
4200200302203010
52104114412224
6130043124100
716342250346
oct4040624304
91360346410
10545466564
1125a9a1115
12132813630
1389013ba6
145262d296
1532d49ac9
hex208328c4

545466564 has 72 divisors (see below), whose sum is σ = 1423487520. Its totient is φ = 176026752.

The previous prime is 545466563. The next prime is 545466569. The reversal of 545466564 is 465664545.

545466564 is a `hidden beast` number, since 5 + 45 + 46 + 6 + 564 = 666.

It is not an unprimeable number, because it can be changed into a prime (545466563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140392 + ... + 144224.

It is an arithmetic number, because the mean of its divisors is an integer number (19770660).

Almost surely, 2545466564 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 545466564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711743760).

545466564 is an abundant number, since it is smaller than the sum of its proper divisors (878020956).

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

545466564 is a wasteful number, since it uses less digits than its factorization.

545466564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3969 (or 3964 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The square root of 545466564 is about 23355.2256251144. The cubic root of 545466564 is about 817.0639416174.

The spelling of 545466564 in words is "five hundred forty-five million, four hundred sixty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59 67 118 134 177 201 236 268 354 402 531 603 708 804 1062 1206 2124 2412 3833 3953 7666 7906 11499 11859 15332 15812 22998 23718 34497 35577 45996 47436 68994 71154 137988 142308 226147 256811 452294 513622 678441 770433 904588 1027244 1356882 1540866 2035323 2311299 2713764 3081732 4070646 4622598 8141292 9245196 15151849 30303698 45455547 60607396 90911094 136366641 181822188 272733282 545466564