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5457327200 = 255213524743
BaseRepresentation
bin1010001010100100…
…00011010001100000
3112002022220221112122
411011102003101200
542134033432300
62301305243412
7252144341633
oct50522032140
915068827478
105457327200
112350578776
121083793568
1368c8226c0
1439ab09c1a
1521e190c85
hex145483460

5457327200 has 72 divisors (see below), whose sum is σ = 14347550448. Its totient is φ = 2015009280.

The previous prime is 5457327179. The next prime is 5457327257. The reversal of 5457327200 is 27237545.

It is a congruent number.

It is an unprimeable number.

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, 251972 + ... + 272771.

It is an arithmetic number, because the mean of its divisors is an integer number (199271534).

Almost surely, 25457327200 is an apocalyptic number.

5457327200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5457327200 is an abundant number, since it is smaller than the sum of its proper divisors (8890223248).

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

5457327200 is a wasteful number, since it uses less digits than its factorization.

5457327200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524776 (or 524763 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 35.

The square root of 5457327200 is about 73873.7246928839. The cubic root of 5457327200 is about 1760.5971630638.

The spelling of 5457327200 in words is "five billion, four hundred fifty-seven million, three hundred twenty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 400 416 520 650 800 1040 1300 2080 2600 5200 10400 524743 1049486 2098972 2623715 4197944 5247430 6821659 8395888 10494860 13118575 13643318 16791776 20989720 26237150 27286636 34108295 41979440 52474300 54573272 68216590 83958880 104948600 109146544 136433180 170541475 209897200 218293088 272866360 341082950 419794400 545732720 682165900 1091465440 1364331800 2728663600 5457327200