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8676549904 = 24112292732
BaseRepresentation
bin10000001010010100…
…11010010100010000
3211101200110101220011
420011022122110100
5120232144044104
63552544324304
7425004312601
oct100512322420
924350411804
108676549904
113752760400
121821913694
13a837618c9
145c4499da8
1535bad9904
hex20529a510

8676549904 has 135 divisors (see below), whose sum is σ = 19402891599. Its totient is φ = 3755727360.

The previous prime is 8676549887. The next prime is 8676549911. The reversal of 8676549904 is 4099456768.

It is a happy number.

The square root of 8676549904 is 93148.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 73616400 + 8602933504 = 8580^2 + 92752^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 118856812 + ... + 118856884.

Almost surely, 28676549904 is an apocalyptic number.

8676549904 is the 93148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8676549904

8676549904 is an abundant number, since it is smaller than the sum of its proper divisors (10726341695).

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

8676549904 is a wasteful number, since it uses less digits than its factorization.

8676549904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The cubic root of 8676549904 is about 2054.8605588120.

The spelling of 8676549904 in words is "eight billion, six hundred seventy-six million, five hundred forty-nine thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 29 44 58 73 88 116 121 146 176 232 242 292 319 464 484 584 638 803 841 968 1168 1276 1606 1682 1936 2117 2552 3212 3364 3509 4234 5104 5329 6424 6728 7018 8468 8833 9251 10658 12848 13456 14036 16936 17666 18502 21316 23287 28072 33872 35332 37004 42632 46574 56144 58619 61393 70664 74008 85264 93148 101761 117238 122786 141328 148016 154541 186296 203522 234476 245572 256157 309082 372592 407044 468952 491144 512314 618164 644809 675323 814088 937904 982288 1024628 1236328 1289618 1350646 1628176 1699951 2049256 2472656 2579236 2701292 3399902 4098512 4481689 5158472 5402584 6799804 7428553 8963378 10316944 10805168 13599608 14857106 17926756 18699461 27199216 29714212 35853512 37398922 49298579 59428424 71707024 74797844 98597158 118856848 149595688 197194316 299191376 394388632 542284369 788777264 1084568738 2169137476 4338274952 8676549904