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8126216 = 237312151
BaseRepresentation
bin11110111111111100001000
3120021212001222
4132333330020
54040014331
6450101212
7126033410
oct36777410
916255058
108126216
11465038a
12287a808
1318b6a17
141117640
15aa7b7b
hex7bff08

8126216 has 48 divisors (see below), whose sum is σ = 18112320. Its totient is φ = 3348000.

The previous prime is 8126213. The next prime is 8126219. The reversal of 8126216 is 6126218.

It is an interprime number because it is at equal distance from previous prime (8126213) and next prime (8126219).

It is not an unprimeable number, because it can be changed into a prime (8126213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53741 + ... + 53891.

It is an arithmetic number, because the mean of its divisors is an integer number (377340).

Almost surely, 28126216 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 8126216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9056160).

8126216 is an abundant number, since it is smaller than the sum of its proper divisors (9986104).

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

8126216 is a wasteful number, since it uses less digits than its factorization.

8126216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 191 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 8126216 is about 2850.6518552780. The cubic root of 8126216 is about 201.0463165625.

The spelling of 8126216 in words is "eight million, one hundred twenty-six thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 151 217 248 302 434 604 868 961 1057 1208 1736 1922 2114 3844 4228 4681 6727 7688 8456 9362 13454 18724 26908 32767 37448 53816 65534 131068 145111 262136 290222 580444 1015777 1160888 2031554 4063108 8126216