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5353000 = 235353101
BaseRepresentation
bin10100011010111000101000
3101001221221021
4110122320220
52332244000
6310422224
763333262
oct24327050
911057837
105353000
113026874
121961974
131155673
149d4b32
1570b11a
hex51ae28

5353000 has 64 divisors (see below), whose sum is σ = 12888720. Its totient is φ = 2080000.

The previous prime is 5352989. The next prime is 5353021. The reversal of 5353000 is 3535.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1643524 + 3709476 = 1282^2 + 1926^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52950 + ... + 53050.

Almost surely, 25353000 is an apocalyptic number.

5353000 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 5353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6444360).

5353000 is an abundant number, since it is smaller than the sum of its proper divisors (7535720).

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

5353000 is a wasteful number, since it uses less digits than its factorization.

5353000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 16.

The square root of 5353000 is about 2313.6551169092. The cubic root of 5353000 is about 174.9305847144.

Adding to 5353000 its reverse (3535), we get a palindrome (5356535).

The spelling of 5353000 in words is "five million, three hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 101 106 125 200 202 212 250 265 404 424 500 505 530 808 1000 1010 1060 1325 2020 2120 2525 2650 4040 5050 5300 5353 6625 10100 10600 10706 12625 13250 20200 21412 25250 26500 26765 42824 50500 53000 53530 101000 107060 133825 214120 267650 535300 669125 1070600 1338250 2676500 5353000