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80317008 = 2434292137
BaseRepresentation
bin1001100100110…
…00101001010000
312121010112020000
410302120221100
5131030121013
611545250000
71663453242
oct462305120
9177115200
1080317008
11413783a2
1222a93900
1313841775
14a94a092
1570b7973
hex4c98a50

80317008 has 100 divisors (see below), whose sum is σ = 240589140. Its totient is φ = 25837056.

The previous prime is 80317007. The next prime is 80317021. The reversal of 80317008 is 80071308.

It can be written as a sum of positive squares in 2 ways, for example, as 19289664 + 61027344 = 4392^2 + 7812^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80317007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36516 + ... + 38652.

Almost surely, 280317008 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 80317008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294570).

80317008 is an abundant number, since it is smaller than the sum of its proper divisors (160272132).

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

80317008 is a wasteful number, since it uses less digits than its factorization.

80317008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 80317008 is about 8961.9756750395. The cubic root of 80317008 is about 431.4553320869.

The spelling of 80317008 in words is "eighty million, three hundred seventeen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 261 324 348 432 464 522 648 696 783 1044 1296 1392 1566 2088 2137 2349 3132 4176 4274 4698 6264 6411 8548 9396 12528 12822 17096 18792 19233 25644 34192 37584 38466 51288 57699 61973 76932 102576 115398 123946 153864 173097 185919 230796 247892 307728 346194 371838 461592 495784 557757 692388 743676 923184 991568 1115514 1384776 1487352 1673271 2231028 2769552 2974704 3346542 4462056 5019813 6693084 8924112 10039626 13386168 20079252 26772336 40158504 80317008