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80717312 = 291367181
BaseRepresentation
bin1001100111110…
…10011000000000
312121212212100002
410303322120000
5131130423222
612002015132
72000041304
oct463723000
9177785302
1080717312
1141621125
12230474a8
1313951a30
14aa11d04
157146392
hex4cfa600

80717312 has 80 divisors (see below), whose sum is σ = 177249072. Its totient is φ = 36495360.

The previous prime is 80717293. The next prime is 80717317. The reversal of 80717312 is 21371708.

It is a hoax number, since the sum of its digits (29) 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 (80717317) 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 7 ways as a sum of consecutive naturals, for example, 445862 + ... + 446042.

Almost surely, 280717312 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 80717312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88624536).

80717312 is an abundant number, since it is smaller than the sum of its proper divisors (96531760).

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

80717312 is a wasteful number, since it uses less digits than its factorization.

80717312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 80717312 is about 8984.2813847297. The cubic root of 80717312 is about 432.1709428655.

The spelling of 80717312 in words is "eighty million, seven hundred seventeen thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 67 104 128 134 181 208 256 268 362 416 512 536 724 832 871 1072 1448 1664 1742 2144 2353 2896 3328 3484 4288 4706 5792 6656 6968 8576 9412 11584 12127 13936 17152 18824 23168 24254 27872 34304 37648 46336 48508 55744 75296 92672 97016 111488 150592 157651 194032 222976 301184 315302 388064 445952 602368 630604 776128 1204736 1261208 1552256 2522416 3104512 5044832 6209024 10089664 20179328 40358656 80717312