Search a number
-
+
545479200 = 253252779137
BaseRepresentation
bin100000100000110…
…101101000100000
31102000102012210100
4200200311220200
52104120313300
6130043302400
716342332240
oct4040655040
91360365710
10545479200
1125a9aa662
1213281aa00
1389019876
1452633b20
1532d4d700
hex20835a20

545479200 has 432 divisors, whose sum is σ = 2242356480. Its totient is φ = 122204160.

The previous prime is 545479171. The next prime is 545479213. The reversal of 545479200 is 2974545.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3981532 + ... + 3981668.

It is an arithmetic number, because the mean of its divisors is an integer number (5190640).

Almost surely, 2545479200 is an apocalyptic number.

545479200 is a gapful number since it is divisible by the number (50) 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 545479200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121178240).

545479200 is an abundant number, since it is smaller than the sum of its proper divisors (1696877280).

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

545479200 is a wasteful number, since it uses less digits than its factorization.

545479200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 545479200 is about 23355.4961411656. The cubic root of 545479200 is about 817.0702507974.

The spelling of 545479200 in words is "five hundred forty-five million, four hundred seventy-nine thousand, two hundred".