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8107296 = 253791069
BaseRepresentation
bin11110111011010100100000
3120020220010020
4132323110200
54033413141
6445433440
7125624301
oct36732440
916226106
108107296
11463814a
12286b880
1318ab222
1411107a8
15aa2266
hex7bb520

8107296 has 48 divisors (see below), whose sum is σ = 21571200. Its totient is φ = 2665728.

The previous prime is 8107289. The next prime is 8107303. The reversal of 8107296 is 6927018.

8107296 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8107289) and next prime (8107303).

It is a tau number, because it is divible by the number of its divisors (48).

It is an alternating number because its digits alternate between even and odd.

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7050 + ... + 8118.

It is an arithmetic number, because the mean of its divisors is an integer number (449400).

Almost surely, 28107296 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 8107296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10785600).

8107296 is an abundant number, since it is smaller than the sum of its proper divisors (13463904).

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

8107296 is a wasteful number, since it uses less digits than its factorization.

8107296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 8107296 is about 2847.3313821893. The cubic root of 8107296 is about 200.8901654824.

The spelling of 8107296 in words is "eight million, one hundred seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1069 1264 1896 2138 2528 3207 3792 4276 6414 7584 8552 12828 17104 25656 34208 51312 84451 102624 168902 253353 337804 506706 675608 1013412 1351216 2026824 2702432 4053648 8107296