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80288512 = 283167151
BaseRepresentation
bin1001100100100…
…01101100000000
312121002002010121
410302101230000
5131023213022
611544510024
71663304203
oct462215400
9177062117
1080288512
1141358a47
1222a7b314
13138317c5
14a93d93a
1570ae2c7
hex4c91b00

80288512 has 72 divisors (see below), whose sum is σ = 169014272. Its totient is φ = 38016000.

The previous prime is 80288503. The next prime is 80288519. The reversal of 80288512 is 21588208.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (80288519) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531637 + ... + 531787.

Almost surely, 280288512 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 80288512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84507136).

80288512 is an abundant number, since it is smaller than the sum of its proper divisors (88725760).

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

80288512 is a wasteful number, since it uses less digits than its factorization.

80288512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 80288512 is about 8960.3857059839. The cubic root of 80288512 is about 431.4043001168.

The spelling of 80288512 in words is "eighty million, two hundred eighty-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 67 124 128 134 151 248 256 268 302 496 536 604 992 1072 1208 1984 2077 2144 2416 3968 4154 4288 4681 4832 7936 8308 8576 9362 9664 10117 16616 17152 18724 19328 20234 33232 37448 38656 40468 66464 74896 80936 132928 149792 161872 265856 299584 313627 323744 531712 599168 627254 647488 1198336 1254508 1294976 2509016 2589952 5018032 10036064 20072128 40144256 80288512