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80049220 = 2254122381
BaseRepresentation
bin1001100010101…
…11010001000100
312120121220212221
410301113101010
5130443033340
611535422124
71661256436
oct461272104
9176556787
1080049220
1141205189
1222984944
1313779904
14a8ba656
15706344a
hex4c57444

80049220 has 36 divisors (see below), whose sum is σ = 172375812. Its totient is φ = 31225600.

The previous prime is 80049217. The next prime is 80049271. The reversal of 80049220 is 2294008.

It can be written as a sum of positive squares in 6 ways, for example, as 57638464 + 22410756 = 7592^2 + 4734^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 32430 + ... + 34810.

It is an arithmetic number, because the mean of its divisors is an integer number (4788217).

Almost surely, 280049220 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 80049220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86187906).

80049220 is an abundant number, since it is smaller than the sum of its proper divisors (92326592).

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

80049220 is a wasteful number, since it uses less digits than its factorization.

80049220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 80049220 is about 8947.0229685633. The cubic root of 80049220 is about 430.9752876194.

The spelling of 80049220 in words is "eighty million, forty-nine thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1681 2381 3362 4762 6724 8405 9524 11905 16810 23810 33620 47620 97621 195242 390484 488105 976210 1952420 4002461 8004922 16009844 20012305 40024610 80049220