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80082144 = 2532278063
BaseRepresentation
bin1001100010111…
…11010011100000
312120200121001100
410301133103200
5131000112034
611540234400
71661454432
oct461372340
9176617040
1080082144
114122799a
122299ba00
131378b8ac
14a8c8652
15706d099
hex4c5f4e0

80082144 has 36 divisors (see below), whose sum is σ = 227734416. Its totient is φ = 26693952.

The previous prime is 80082139. The next prime is 80082151. The reversal of 80082144 is 44128008.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 138744 + ... + 139319.

It is an arithmetic number, because the mean of its divisors is an integer number (6325956).

Almost surely, 280082144 is an apocalyptic number.

It is an amenable number.

80082144 is an abundant number, since it is smaller than the sum of its proper divisors (147652272).

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

80082144 is a wasteful number, since it uses less digits than its factorization.

80082144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278079 (or 278068 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 80082144 is about 8948.8627210389. The cubic root of 80082144 is about 431.0343657942.

It can be divided in two parts, 800 and 82144, that added together give a square (82944 = 2882).

The spelling of 80082144 in words is "eighty million, eighty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 278063 556126 834189 1112252 1668378 2224504 2502567 3336756 4449008 5005134 6673512 8898016 10010268 13347024 20020536 26694048 40041072 80082144