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8097216 = 263181233
BaseRepresentation
bin11110111000110111000000
3120020101021220
4132320313000
54033102331
6445315040
7125553021
oct36706700
916211256
108097216
114630616
122865a80
1318a676a
14110ac48
15a9e296
hex7b8dc0

8097216 has 56 divisors (see below), whose sum is σ = 21634704. Its totient is φ = 2672640.

The previous prime is 8097203. The next prime is 8097217. The reversal of 8097216 is 6127908.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8097217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34636 + ... + 34868.

It is an arithmetic number, because the mean of its divisors is an integer number (386334).

Almost surely, 28097216 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 8097216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10817352).

8097216 is an abundant number, since it is smaller than the sum of its proper divisors (13537488).

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

8097216 is a wasteful number, since it uses less digits than its factorization.

8097216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 419 counting only the distinct ones).

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

The square root of 8097216 is about 2845.5607531733. The cubic root of 8097216 is about 200.8068737297.

The spelling of 8097216 in words is "eight million, ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 181 192 233 362 466 543 699 724 932 1086 1398 1448 1864 2172 2796 2896 3728 4344 5592 5792 7456 8688 11184 11584 14912 17376 22368 34752 42173 44736 84346 126519 168692 253038 337384 506076 674768 1012152 1349536 2024304 2699072 4048608 8097216