Search a number
-
+
8082516 = 22313197263
BaseRepresentation
bin11110110101010001010100
3120012122010110
4132311101110
54032120031
6445123020
7125462121
oct36652124
916178113
108082516
114620572
122859470
13189cb70
141105748
15a99c46
hex7b5454

8082516 has 48 divisors (see below), whose sum is σ = 20490624. Its totient is φ = 2464896.

The previous prime is 8082461. The next prime is 8082521. The reversal of 8082516 is 6152808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30601 + ... + 30863.

It is an arithmetic number, because the mean of its divisors is an integer number (426888).

Almost surely, 28082516 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 8082516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10245312).

8082516 is an abundant number, since it is smaller than the sum of its proper divisors (12408108).

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

8082516 is a wasteful number, since it uses less digits than its factorization.

8082516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 8082516 is about 2842.9766091194. The cubic root of 8082516 is about 200.6852825904.

The spelling of 8082516 in words is "eight million, eighty-two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 197 263 394 526 591 788 789 1052 1182 1578 2364 2561 3156 3419 5122 6838 7683 10244 10257 13676 15366 20514 30732 41028 51811 103622 155433 207244 310866 621732 673543 1347086 2020629 2694172 4041258 8082516