Search a number
-
+
8212916 = 2229101701
BaseRepresentation
bin11111010101000110110100
3120110021000002
4133111012310
54100303131
6452010432
7126544235
oct37250664
916407002
108212916
1146aa538
122900a18
13191731a
14113b08c
15ac36cb
hex7d51b4

8212916 has 24 divisors (see below), whose sum is σ = 15036840. Its totient is φ = 3920000.

The previous prime is 8212913. The next prime is 8212931. The reversal of 8212916 is 6192128.

It can be written as a sum of positive squares in 4 ways, for example, as 5044516 + 3168400 = 2246^2 + 1780^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8212913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11366 + ... + 12066.

It is an arithmetic number, because the mean of its divisors is an integer number (626535).

Almost surely, 28212916 is an apocalyptic number.

It is an amenable number.

8212916 is a deficient number, since it is larger than the sum of its proper divisors (6823924).

8212916 is a wasteful number, since it uses less digits than its factorization.

8212916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 833 counting only the distinct ones).

The product of its digits is 1728, while the sum is 29.

The square root of 8212916 is about 2865.8185567129. The cubic root of 8212916 is about 201.7587879864.

The spelling of 8212916 in words is "eight million, two hundred twelve thousand, nine hundred sixteen".

Divisors: 1 2 4 29 58 101 116 202 404 701 1402 2804 2929 5858 11716 20329 40658 70801 81316 141602 283204 2053229 4106458 8212916