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80522928 = 24326189103
BaseRepresentation
bin1001100110010…
…10111010110000
312121111222200200
410303022322300
5131103213203
611553515200
71665301503
oct463127260
9177458620
1080522928
11414a9082
1222b72b00
13138b4405
14a9a113a
1571089a3
hex4ccaeb0

80522928 has 120 divisors (see below), whose sum is σ = 233868960. Its totient is φ = 25850880.

The previous prime is 80522927. The next prime is 80522929. The reversal of 80522928 is 82922508.

It is an interprime number because it is at equal distance from previous prime (80522927) and next prime (80522929).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 80522892 and 80522901.

It is not an unprimeable number, because it can be changed into a prime (80522927) 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 23 ways as a sum of consecutive naturals, for example, 781725 + ... + 781827.

It is an arithmetic number, because the mean of its divisors is an integer number (1948908).

Almost surely, 280522928 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 80522928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116934480).

80522928 is an abundant number, since it is smaller than the sum of its proper divisors (153346032).

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

80522928 is a wasteful number, since it uses less digits than its factorization.

80522928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 80522928 is about 8973.4568589814. The cubic root of 80522928 is about 431.8237449706.

The spelling of 80522928 in words is "eighty million, five hundred twenty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 89 103 122 144 178 183 206 244 267 309 356 366 412 488 534 549 618 712 732 801 824 927 976 1068 1098 1236 1424 1464 1602 1648 1854 2136 2196 2472 2928 3204 3708 4272 4392 4944 5429 6283 6408 7416 8784 9167 10858 12566 12816 14832 16287 18334 18849 21716 25132 27501 32574 36668 37698 43432 48861 50264 55002 56547 65148 73336 75396 82503 86864 97722 100528 110004 113094 130296 146672 150792 165006 195444 220008 226188 260592 301584 330012 390888 440016 452376 559187 660024 781776 904752 1118374 1320048 1677561 2236748 3355122 4473496 5032683 6710244 8946992 10065366 13420488 20130732 26840976 40261464 80522928