Search a number
-
+
5275200 = 263527157
BaseRepresentation
bin10100000111111001000000
3100221000012210
4110013321000
52322301300
6305022120
762560410
oct24077100
910830183
105275200
112a83377
121924940
131129128
149b4640
156e3050
hex507e40

5275200 has 168 divisors, whose sum is σ = 19905472. Its totient is φ = 1198080.

The previous prime is 5275163. The next prime is 5275243. The reversal of 5275200 is 25725.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 33522 + ... + 33678.

Almost surely, 25275200 is an apocalyptic number.

5275200 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 5275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9952736).

5275200 is an abundant number, since it is smaller than the sum of its proper divisors (14630272).

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

5275200 is a wasteful number, since it uses less digits than its factorization.

5275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 5275200 is about 2296.7803551929. The cubic root of 5275200 is about 174.0789706272.

The spelling of 5275200 in words is "five million, two hundred seventy-five thousand, two hundred".