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5249000 = 235329181
BaseRepresentation
bin10100000001011111101000
3100212200021102
4110001133220
52320432000
6304300532
762421131
oct24013750
910780242
105249000
112a65719
121911748
13111a223
149a8c88
156da3d5
hex5017e8

5249000 has 64 divisors (see below), whose sum is σ = 12776400. Its totient is φ = 2016000.

The previous prime is 5248987. The next prime is 5249009. The reversal of 5249000 is 9425.

It can be written as a sum of positive squares in 8 ways, for example, as 114244 + 5134756 = 338^2 + 2266^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (5249009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28910 + ... + 29090.

Almost surely, 25249000 is an apocalyptic number.

5249000 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 5249000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6388200).

5249000 is an abundant number, since it is smaller than the sum of its proper divisors (7527400).

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

5249000 is a wasteful number, since it uses less digits than its factorization.

5249000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 5249000 is about 2291.0696191954. The cubic root of 5249000 is about 173.7902965384.

5249000 divided by its sum of digits (20) gives a triangular number (262450 = T724).

The spelling of 5249000 in words is "five million, two hundred forty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 181 200 232 250 290 362 500 580 724 725 905 1000 1160 1448 1450 1810 2900 3620 3625 4525 5249 5800 7240 7250 9050 10498 14500 18100 20996 22625 26245 29000 36200 41992 45250 52490 90500 104980 131225 181000 209960 262450 524900 656125 1049800 1312250 2624500 5249000