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80448138 = 23237199607
BaseRepresentation
bin1001100101110…
…00101010001010
312121101012002200
410302320222022
5131043320023
611552141030
71664540451
oct462705212
9177335080
1080448138
1141457971
1222b37776
1313889364
14a981b98
1570e1743
hex4cb8a8a

80448138 has 48 divisors (see below), whose sum is σ = 180211200. Its totient is φ = 25917408.

The previous prime is 80448113. The next prime is 80448139. The reversal of 80448138 is 83184408.

80448138 is a `hidden beast` number, since 80 + 448 + 138 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (80448139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132231 + ... + 132837.

It is an arithmetic number, because the mean of its divisors is an integer number (3754400).

Almost surely, 280448138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80448138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90105600).

80448138 is an abundant number, since it is smaller than the sum of its proper divisors (99763062).

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

80448138 is a wasteful number, since it uses less digits than its factorization.

80448138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 80448138 is about 8969.2886005524. The cubic root of 80448138 is about 431.6900103819.

The spelling of 80448138 in words is "eighty million, four hundred forty-eight thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 37 74 111 199 222 333 398 597 607 666 1194 1214 1791 1821 3582 3642 5463 7363 10926 14726 22089 22459 44178 44918 66267 67377 120793 132534 134754 202131 241586 362379 404262 724758 1087137 2174274 4469341 8938682 13408023 26816046 40224069 80448138