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5248400 = 245213121
BaseRepresentation
bin10100000001010110010000
3100212122110012
4110001112100
52320422100
6304254052
762416313
oct24012620
910778405
105248400
112a65223
121911328
131119b81
149a897a
156da135
hex501590

5248400 has 30 divisors (see below), whose sum is σ = 12610242. Its totient is φ = 2099200.

The previous prime is 5248381. The next prime is 5248421. The reversal of 5248400 is 48425.

It can be written as a sum of positive squares in 3 ways, for example, as 13456 + 5234944 = 116^2 + 2288^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6161 + ... + 6960.

Almost surely, 25248400 is an apocalyptic number.

5248400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5248400 is an abundant number, since it is smaller than the sum of its proper divisors (7361842).

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

5248400 is a wasteful number, since it uses less digits than its factorization.

5248400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13139 (or 13128 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 5248400 is about 2290.9386722477. The cubic root of 5248400 is about 173.7836744420.

The spelling of 5248400 in words is "five million, two hundred forty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 13121 26242 52484 65605 104968 131210 209936 262420 328025 524840 656050 1049680 1312100 2624200 5248400