Search a number
-
+
478250200 = 23527930269
BaseRepresentation
bin11100100000011…
…000010011011000
31020022220121221101
4130200120103120
51434413001300
6115242321144
714565026311
oct3440302330
91208817841
10478250200
11225a614aa
121141b91b4
137810b3ac
1447733608
152bebdb6a
hex1c8184d8

478250200 has 48 divisors (see below), whose sum is σ = 1126044000. Its totient is φ = 188872320.

The previous prime is 478250191. The next prime is 478250207. The reversal of 478250200 is 2052874.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478250207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 666 + ... + 30934.

It is an arithmetic number, because the mean of its divisors is an integer number (23459250).

Almost surely, 2478250200 is an apocalyptic number.

478250200 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 478250200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563022000).

478250200 is an abundant number, since it is smaller than the sum of its proper divisors (647793800).

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

478250200 is a wasteful number, since it uses less digits than its factorization.

478250200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30364 (or 30355 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 478250200 is about 21868.9323013265. The cubic root of 478250200 is about 782.0209481942.

The spelling of 478250200 in words is "four hundred seventy-eight million, two hundred fifty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 158 200 316 395 632 790 1580 1975 3160 3950 7900 15800 30269 60538 121076 151345 242152 302690 605380 756725 1210760 1513450 2391251 3026900 4782502 6053800 9565004 11956255 19130008 23912510 47825020 59781275 95650040 119562550 239125100 478250200