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5487948288 = 2934132329
BaseRepresentation
bin1010001110001101…
…10111001000000000
3112011110112122210000
411013012313020000
542214403321123
62304321440000
7252665535144
oct50706671000
915143478700
105487948288
112366892859
121091aa0000
13695c842a4
143a0bdb224
15221bddb43
hex1471b7200

5487948288 has 100 divisors (see below), whose sum is σ = 16380204390. Its totient is φ = 1829302272.

The previous prime is 5487948287. The next prime is 5487948293. The reversal of 5487948288 is 8828497845.

5487948288 is a `hidden beast` number, since 5 + 4 + 8 + 79 + 482 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5039864064 + 448084224 = 70992^2 + 21168^2 .

It is not an unprimeable number, because it can be changed into a prime (5487948287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 24693 + ... + 107636.

Almost surely, 25487948288 is an apocalyptic number.

It is an amenable number.

5487948288 is an abundant number, since it is smaller than the sum of its proper divisors (10892256102).

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

5487948288 is an equidigital number, since it uses as much as digits as its factorization.

5487948288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132359 (or 132334 counting only the distinct ones).

The product of its digits is 41287680, while the sum is 63.

The square root of 5487948288 is about 74080.6876857930. The cubic root of 5487948288 is about 1763.8839296112.

The spelling of 5487948288 in words is "five billion, four hundred eighty-seven million, nine hundred forty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13824 20736 41472 132329 264658 396987 529316 793974 1058632 1190961 1587948 2117264 2381922 3175896 3572883 4234528 4763844 6351792 7145766 8469056 9527688 10718649 12703584 14291532 16938112 19055376 21437298 25407168 28583064 33876224 38110752 42874596 50814336 57166128 67752448 76221504 85749192 101628672 114332256 152443008 171498384 203257344 228664512 304886016 342996768 457329024 609772032 685993536 914658048 1371987072 1829316096 2743974144 5487948288