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8035216 = 247237277
BaseRepresentation
bin11110101001101110010000
3120010020020121
4132221232100
54024111331
6444120024
7125204200
oct36515620
916106217
108035216
114598a82
122836014
131884487
1410d2400
15a8ac11
hex7a9b90

8035216 has 60 divisors (see below), whose sum is σ = 18666588. Its totient is φ = 3338496.

The previous prime is 8035213. The next prime is 8035229. The reversal of 8035216 is 6125308.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4410000 + 3625216 = 2100^2 + 1904^2 .

It is not an unprimeable number, because it can be changed into a prime (8035213) 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, 28870 + ... + 29146.

Almost surely, 28035216 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 8035216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9333294).

8035216 is an abundant number, since it is smaller than the sum of its proper divisors (10631372).

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

8035216 is a wasteful number, since it uses less digits than its factorization.

8035216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 8035216 is about 2834.6456568679. The cubic root of 8035216 is about 200.2930371033.

The spelling of 8035216 in words is "eight million, thirty-five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 98 112 148 196 259 277 296 392 518 554 592 784 1036 1108 1813 1939 2072 2216 3626 3878 4144 4432 7252 7756 10249 13573 14504 15512 20498 27146 29008 31024 40996 54292 71743 81992 108584 143486 163984 217168 286972 502201 573944 1004402 1147888 2008804 4017608 8035216