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80616008 = 2311367113
BaseRepresentation
bin1001100111000…
…01101001001000
312121200201101002
410303201221020
5131114203013
611555514132
71666140044
oct463415110
9177621332
1080616008
1141562000
1222bb8948
13139178a5
14a9c7024
157126358
hex4ce1a48

80616008 has 64 divisors (see below), whose sum is σ = 170233920. Its totient is φ = 35777280.

The previous prime is 80616001. The next prime is 80616049. The reversal of 80616008 is 80061608.

It is not an unprimeable number, because it can be changed into a prime (80616001) by changing a digit.

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, 713360 + ... + 713472.

It is an arithmetic number, because the mean of its divisors is an integer number (2659905).

Almost surely, 280616008 is an apocalyptic number.

80616008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80616008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85116960).

80616008 is an abundant number, since it is smaller than the sum of its proper divisors (89617912).

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

80616008 is a wasteful number, since it uses less digits than its factorization.

80616008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 80616008 is about 8978.6417681072. The cubic root of 80616008 is about 431.9900689304.

It can be divided in two parts, 8061600 and 8, that added together give a palindrome (8061608).

The spelling of 80616008 in words is "eighty million, six hundred sixteen thousand, eight".

Divisors: 1 2 4 8 11 22 44 67 88 113 121 134 226 242 268 452 484 536 737 904 968 1243 1331 1474 2486 2662 2948 4972 5324 5896 7571 8107 9944 10648 13673 15142 16214 27346 30284 32428 54692 60568 64856 83281 89177 109384 150403 166562 178354 300806 333124 356708 601612 666248 713416 916091 1203224 1832182 3664364 7328728 10077001 20154002 40308004 80616008