Search a number
-
+
4492800 = 29335213
BaseRepresentation
bin10001001000111000000000
322110020222000
4101020320000
52122232200
6240144000
753121354
oct21107000
98406860
104492800
112599564
121608000
13c13c80
1484d464
155db300
hex448e00

4492800 has 240 divisors, whose sum is σ = 17759280. Its totient is φ = 1105920.

The previous prime is 4492793. The next prime is 4492837. The reversal of 4492800 is 82944.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345594 + ... + 345606.

It is an arithmetic number, because the mean of its divisors is an integer number (73997).

Almost surely, 24492800 is an apocalyptic number.

4492800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8879640).

4492800 is an abundant number, since it is smaller than the sum of its proper divisors (13266480).

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

4492800 is a wasteful number, since it uses less digits than its factorization.

4492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4492800 is about 2119.6226079187. The cubic root of 4492800 is about 165.0082640489.

It can be divided in two parts, 449 and 2800, that added together give a square (3249 = 572).

The spelling of 4492800 in words is "four million, four hundred ninety-two thousand, eight hundred".