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5337800 = 2352132053
BaseRepresentation
bin10100010111001011001000
3101001012002022
4110113023020
52331302200
6310224012
763241046
oct24271310
911035068
105337800
113016406
121955008
13114b780
149cd396
15706885
hex5172c8

5337800 has 48 divisors (see below), whose sum is σ = 13371540. Its totient is φ = 1969920.

The previous prime is 5337799. The next prime is 5337811. The reversal of 5337800 is 87335.

It can be written as a sum of positive squares in 6 ways, for example, as 1036324 + 4301476 = 1018^2 + 2074^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 5337800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1574 + ... + 3626.

Almost surely, 25337800 is an apocalyptic number.

5337800 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 5337800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6685770).

5337800 is an abundant number, since it is smaller than the sum of its proper divisors (8033740).

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

5337800 is a wasteful number, since it uses less digits than its factorization.

5337800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 5337800 is about 2310.3679360656. The cubic root of 5337800 is about 174.7648542465.

The spelling of 5337800 in words is "five million, three hundred thirty-seven thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2053 2600 4106 8212 10265 16424 20530 26689 41060 51325 53378 82120 102650 106756 133445 205300 213512 266890 410600 533780 667225 1067560 1334450 2668900 5337800