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80116608 = 27311131459
BaseRepresentation
bin1001100011001…
…11101110000000
312120202100022210
410301213232000
5131002212413
611541102120
71661660055
oct461475600
9176670283
1080116608
1141250880
12229b7940
13137a14a0
14a8d702c
1570783c3
hex4c67b80

80116608 has 128 divisors (see below), whose sum is σ = 250185600. Its totient is φ = 22394880.

The previous prime is 80116601. The next prime is 80116609. The reversal of 80116608 is 80661108.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80116601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54183 + ... + 55641.

It is an arithmetic number, because the mean of its divisors is an integer number (1954575).

Almost surely, 280116608 is an apocalyptic number.

80116608 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 80116608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125092800).

80116608 is an abundant number, since it is smaller than the sum of its proper divisors (170068992).

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

80116608 is a wasteful number, since it uses less digits than its factorization.

80116608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 80116608 is about 8950.7881217243. The cubic root of 80116608 is about 431.0961899710.

The spelling of 80116608 in words is "eighty million, one hundred sixteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 264 286 312 352 384 416 429 528 572 624 704 832 858 1056 1144 1248 1408 1459 1664 1716 2112 2288 2496 2918 3432 4224 4377 4576 4992 5836 6864 8754 9152 11672 13728 16049 17508 18304 18967 23344 27456 32098 35016 37934 46688 48147 54912 56901 64196 70032 75868 93376 96294 113802 128392 140064 151736 186752 192588 208637 227604 256784 280128 303472 385176 417274 455208 513568 560256 606944 625911 770352 834548 910416 1027136 1213888 1251822 1540704 1669096 1820832 2054272 2427776 2503644 3081408 3338192 3641664 5007288 6162816 6676384 7283328 10014576 13352768 20029152 26705536 40058304 80116608