Search a number
-
+
8416290 = 235472127
BaseRepresentation
bin100000000110…
…110000100010
3120211120222110
4200012300202
54123310130
6500220150
7131352201
oct40066042
916746873
108416290
114829313
12299a656
131988a6c
141191238
15b13ab0
hex806c22

8416290 has 48 divisors (see below), whose sum is σ = 20800512. Its totient is φ = 2179296.

The previous prime is 8416273. The next prime is 8416301. The reversal of 8416290 is 926148.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66207 + ... + 66333.

It is an arithmetic number, because the mean of its divisors is an integer number (433344).

Almost surely, 28416290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8416290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10400256).

8416290 is an abundant number, since it is smaller than the sum of its proper divisors (12384222).

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

8416290 is a wasteful number, since it uses less digits than its factorization.

8416290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 8416290 is about 2901.0842800581. The cubic root of 8416290 is about 203.4105920391.

The spelling of 8416290 in words is "eight million, four hundred sixteen thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 47 94 127 141 235 254 282 381 470 635 705 762 1270 1410 1905 2209 3810 4418 5969 6627 11045 11938 13254 17907 22090 29845 33135 35814 59690 66270 89535 179070 280543 561086 841629 1402715 1683258 2805430 4208145 8416290