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80716512 = 2532979367
BaseRepresentation
bin1001100111110…
…10001011100000
312121212211020110
410303322023200
5131130412022
612002011320
72000036052
oct463721340
9177784213
1080716512
1141620568
1223046b40
1313951566
14aa118d2
15714600c
hex4cfa2e0

80716512 has 96 divisors (see below), whose sum is σ = 222566400. Its totient is φ = 25579008.

The previous prime is 80716511. The next prime is 80716523. The reversal of 80716512 is 21561708.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×807165122 = 13030310618892288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 80716512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80716511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219753 + ... + 220119.

It is an arithmetic number, because the mean of its divisors is an integer number (2318400).

Almost surely, 280716512 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 80716512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111283200).

80716512 is an abundant number, since it is smaller than the sum of its proper divisors (141849888).

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

80716512 is a wasteful number, since it uses less digits than its factorization.

80716512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 80716512 is about 8984.2368624163. The cubic root of 80716512 is about 432.1695150929.

The spelling of 80716512 in words is "eighty million, seven hundred sixteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 79 87 96 116 158 174 232 237 316 348 367 464 474 632 696 734 928 948 1101 1264 1392 1468 1896 2202 2291 2528 2784 2936 3792 4404 4582 5872 6873 7584 8808 9164 10643 11744 13746 17616 18328 21286 27492 28993 31929 35232 36656 42572 54984 57986 63858 73312 85144 86979 109968 115972 127716 170288 173958 219936 231944 255432 340576 347916 463888 510864 695832 840797 927776 1021728 1391664 1681594 2522391 2783328 3363188 5044782 6726376 10089564 13452752 20179128 26905504 40358256 80716512