Search a number
-
+
2808414 = 232731719
BaseRepresentation
bin1010101101101001011110
312021200102100
422231221132
51204332124
6140105530
732604540
oct12555136
95250370
102808414
111649004
12b352a6
137743ab
14531690
153a71c9
hex2ada5e

2808414 has 48 divisors (see below), whose sum is σ = 7188480. Its totient is φ = 775440.

The previous prime is 2808413. The next prime is 2808419. The reversal of 2808414 is 4148082.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2808413) 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 23 ways as a sum of consecutive naturals, for example, 3547 + ... + 4265.

It is an arithmetic number, because the mean of its divisors is an integer number (149760).

22808414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2808414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594240).

2808414 is an abundant number, since it is smaller than the sum of its proper divisors (4380066).

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

2808414 is a wasteful number, since it uses less digits than its factorization.

2808414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2808414 is about 1675.8323305152. The cubic root of 2808414 is about 141.0870143453.

The spelling of 2808414 in words is "two million, eight hundred eight thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 719 1302 1438 1953 2157 3906 4314 5033 6471 10066 12942 15099 22289 30198 44578 45297 66867 90594 133734 156023 200601 312046 401202 468069 936138 1404207 2808414