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8000830508 = 22112389211421
BaseRepresentation
bin1110111001110001…
…01111110000101100
3202122120222022010212
413130320233300230
5112341203034013
63401525321552
7402160636316
oct73470576054
922576868125
108000830508
113436295420
1216735662b8
139a6774148
1455c8427b6
1531c6116a8
hex1dce2fc2c

8000830508 has 96 divisors (see below), whose sum is σ = 16232348160. Its totient is φ = 3415104000.

The previous prime is 8000830507. The next prime is 8000830511. The reversal of 8000830508 is 8050380008.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (8000830507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19004138 + ... + 19004558.

It is an arithmetic number, because the mean of its divisors is an integer number (169086960).

Almost surely, 28000830508 is an apocalyptic number.

It is an amenable number.

8000830508 is an abundant number, since it is smaller than the sum of its proper divisors (8231517652).

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

8000830508 is a wasteful number, since it uses less digits than its factorization.

8000830508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 8000830508 is about 89447.3616603642. The cubic root of 8000830508 is about 2000.0692066052.

The spelling of 8000830508 in words is "eight billion, eight hundred thirty thousand, five hundred eight".

Divisors: 1 2 4 11 22 23 44 46 89 92 178 211 253 356 421 422 506 842 844 979 1012 1684 1958 2047 2321 3916 4094 4631 4642 4853 8188 9262 9284 9683 9706 18524 18779 19366 19412 22517 37469 37558 38732 45034 53383 74938 75116 88831 90068 106513 106766 149876 177662 206569 213026 213532 355324 412159 413138 426052 431917 824318 826276 861787 863834 977141 1648636 1723574 1727668 1954282 2043113 3447148 3908564 4086226 4751087 7905959 8172452 9479657 9502174 15811918 18959314 19004348 22474243 31623836 37918628 44948486 86965549 89896972 173931098 181837057 347862196 363674114 727348228 2000207627 4000415254 8000830508