Search a number
-
+
80294976 = 26361721
BaseRepresentation
bin1001100100100…
…11010001000000
312121002102000000
410302103101000
5131023414401
611545000000
71663332066
oct462232100
9177072000
1080294976
1141362893
1222a83000
1313834728
14a942036
1570b1186
hex4c93440

80294976 has 98 divisors (see below), whose sum is σ = 239032542. Its totient is φ = 26749440.

The previous prime is 80294923. The next prime is 80294983. The reversal of 80294976 is 67949208.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 74649600 + 5645376 = 8640^2 + 2376^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 45796 + ... + 47516.

Almost surely, 280294976 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 80294976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119516271).

80294976 is an abundant number, since it is smaller than the sum of its proper divisors (158737566).

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

80294976 is an equidigital number, since it uses as much as digits as its factorization.

80294976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 80294976 is about 8960.7463974827. The cubic root of 80294976 is about 431.4158772091.

The spelling of 80294976 in words is "eighty million, two hundred ninety-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1721 1728 1944 2592 2916 3442 3888 5163 5184 5832 6884 7776 10326 11664 13768 15489 15552 20652 23328 27536 30978 41304 46467 46656 55072 61956 82608 92934 110144 123912 139401 165216 185868 247824 278802 330432 371736 418203 495648 557604 743472 836406 991296 1115208 1254609 1486944 1672812 2230416 2509218 2973888 3345624 4460832 5018436 6691248 8921664 10036872 13382496 20073744 26764992 40147488 80294976