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8061872 = 247313113
BaseRepresentation
bin11110110000001110110000
3120011120210212
4132300032300
54030434442
6444443252
7125345000
oct36601660
916146725
108061872
114607005
122849528
131893650
1410dc000
15a93a82
hex7b03b0

8061872 has 80 divisors (see below), whose sum is σ = 19790400. Its totient is φ = 3161088.

The previous prime is 8061847. The next prime is 8061877. The reversal of 8061872 is 2781608.

It is not an unprimeable number, because it can be changed into a prime (8061877) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 71288 + ... + 71400.

It is an arithmetic number, because the mean of its divisors is an integer number (247380).

Almost surely, 28061872 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 8061872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9895200).

8061872 is an abundant number, since it is smaller than the sum of its proper divisors (11728528).

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

8061872 is a wasteful number, since it uses less digits than its factorization.

8061872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 8061872 is about 2839.3435861128. The cubic root of 8061872 is about 200.5142764651.

The spelling of 8061872 in words is "eight million, sixty-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 113 182 196 208 226 343 364 392 452 637 686 728 784 791 904 1274 1372 1456 1469 1582 1808 2548 2744 2938 3164 4459 5096 5488 5537 5876 6328 8918 10192 10283 11074 11752 12656 17836 20566 22148 23504 35672 38759 41132 44296 71344 71981 77518 82264 88592 143962 155036 164528 287924 310072 503867 575848 620144 1007734 1151696 2015468 4030936 8061872