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5492800 = 26523433
BaseRepresentation
bin10100111101000001000000
3101100001201001
4110331001000
52401232200
6313421344
764454665
oct24750100
911301631
105492800
113111905
121a0a854
1311a41a1
14a2da6c
1573776a
hex53d040

5492800 has 42 divisors (see below), whose sum is σ = 13519658. Its totient is φ = 2196480.

The previous prime is 5492789. The next prime is 5492801. The reversal of 5492800 is 82945.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 147456 + 5345344 = 384^2 + 2312^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5492801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 117 + ... + 3316.

Almost surely, 25492800 is an apocalyptic number.

5492800 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 5492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6759829).

5492800 is an abundant number, since it is smaller than the sum of its proper divisors (8026858).

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

5492800 is a wasteful number, since it uses less digits than its factorization.

5492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3455 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 5492800 is about 2343.6723320464. The cubic root of 5492800 is about 176.4403573487.

The spelling of 5492800 in words is "five million, four hundred ninety-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 3433 6866 13732 17165 27464 34330 54928 68660 85825 109856 137320 171650 219712 274640 343300 549280 686600 1098560 1373200 2746400 5492800