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675535008 = 25383149569
BaseRepresentation
bin101000010000111…
…101100010100000
31202002010201211010
4220100331202200
52340414110013
6151011020520
722511644551
oct5020754240
91662121733
10675535008
1131735a4a5
1216a29a740
13a9c54875
1465a0a328
153e48d7c3
hex2843d8a0

675535008 has 96 divisors (see below), whose sum is σ = 1809864000. Its totient is φ = 220583936.

The previous prime is 675534989. The next prime is 675535013. The reversal of 675535008 is 800535576.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 1186948 + ... + 1187516.

It is an arithmetic number, because the mean of its divisors is an integer number (18852750).

Almost surely, 2675535008 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 675535008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904932000).

675535008 is an abundant number, since it is smaller than the sum of its proper divisors (1134328992).

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

675535008 is a wasteful number, since it uses less digits than its factorization.

675535008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 675535008 is about 25991.0563078918. The cubic root of 675535008 is about 877.4370192052.

The spelling of 675535008 in words is "six hundred seventy-five million, five hundred thirty-five thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 149 166 249 298 332 447 498 569 596 664 894 996 1138 1192 1328 1707 1788 1992 2276 2384 2656 3414 3576 3984 4552 4768 6828 7152 7968 9104 12367 13656 14304 18208 24734 27312 37101 47227 49468 54624 74202 84781 94454 98936 141681 148404 169562 188908 197872 254343 283362 296808 339124 377816 395744 508686 566724 593616 678248 755632 1017372 1133448 1187232 1356496 1511264 2034744 2266896 2712992 4069488 4533792 7036823 8138976 14073646 21110469 28147292 42220938 56294584 84441876 112589168 168883752 225178336 337767504 675535008