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8116032 = 263411031
BaseRepresentation
bin11110111101011101000000
3120021100002210
4132331131000
54034203112
6445542120
7125661621
oct36753500
916240083
108116032
114643771
122874940
1318b21b2
141113a48
15aa4b3c
hex7bd740

8116032 has 56 divisors (see below), whose sum is σ = 22018752. Its totient is φ = 2636800.

The previous prime is 8116019. The next prime is 8116037. The reversal of 8116032 is 2306118.

8116032 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8116037) 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 7 ways as a sum of consecutive naturals, for example, 7357 + ... + 8387.

It is an arithmetic number, because the mean of its divisors is an integer number (393192).

Almost surely, 28116032 is an apocalyptic number.

8116032 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8116032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11009376).

8116032 is an abundant number, since it is smaller than the sum of its proper divisors (13902720).

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

8116032 is a wasteful number, since it uses less digits than its factorization.

8116032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 8116032 is about 2848.8650371683. The cubic root of 8116032 is about 200.9622958411.

The spelling of 8116032 in words is "eight million, one hundred sixteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1031 1312 1968 2062 2624 3093 3936 4124 6186 7872 8248 12372 16496 24744 32992 42271 49488 65984 84542 98976 126813 169084 197952 253626 338168 507252 676336 1014504 1352672 2029008 2705344 4058016 8116032