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545712480 = 25325378967
BaseRepresentation
bin100000100001101…
…110100101100000
31102000212001210100
4200201232211200
52104200244410
6130052302400
716344323325
oct4041564540
91360761710
10545712480
11260049955
12132911a00
138909bac1
1452694b4c
1532d978c0
hex2086e960

545712480 has 72 divisors (see below), whose sum is σ = 1862248752. Its totient is φ = 145522944.

The previous prime is 545712473. The next prime is 545712481. The reversal of 545712480 is 84217545.

545712480 is a `hidden beast` number, since 5 + 4 + 571 + 2 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×5457124802 = 595604221655500800, which contains 22 as substring.

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 (545712481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188044 + ... + 190923.

It is an arithmetic number, because the mean of its divisors is an integer number (25864566).

Almost surely, 2545712480 is an apocalyptic number.

It is an amenable number.

545712480 is an abundant number, since it is smaller than the sum of its proper divisors (1316536272).

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

545712480 is a wasteful number, since it uses less digits than its factorization.

545712480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378988 (or 378977 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 545712480 is about 23360.4897208941. The cubic root of 545712480 is about 817.1867104675.

The spelling of 545712480 in words is "five hundred forty-five million, seven hundred twelve thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 378967 757934 1136901 1515868 1894835 2273802 3031736 3410703 3789670 4547604 5684505 6063472 6821406 7579340 9095208 11369010 12126944 13642812 15158680 17053515 18190416 22738020 27285624 30317360 34107030 36380832 45476040 54571248 60634720 68214060 90952080 109142496 136428120 181904160 272856240 545712480