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5812000 = 25531453
BaseRepresentation
bin10110001010111100100000
3101221021120021
4112022330200
52441441000
6324323224
7100254415
oct26127440
911837507
105812000
11330a707
121b43514
13128656c
14ab410c
1579c11a
hex58af20

5812000 has 48 divisors (see below), whose sum is σ = 14289912. Its totient is φ = 2323200.

The previous prime is 5811979. The next prime is 5812013. The reversal of 5812000 is 2185.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3489424 + 2322576 = 1868^2 + 1524^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3274 + ... + 4726.

Almost surely, 25812000 is an apocalyptic number.

5812000 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 5812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7144956).

5812000 is an abundant number, since it is smaller than the sum of its proper divisors (8477912).

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

5812000 is a wasteful number, since it uses less digits than its factorization.

5812000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 5812000 is about 2410.8089928487. The cubic root of 5812000 is about 179.7940030244.

Adding to 5812000 its reverse (2185), we get a palindrome (5814185).

The spelling of 5812000 in words is "five million, eight hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1453 2000 2906 4000 5812 7265 11624 14530 23248 29060 36325 46496 58120 72650 116240 145300 181625 232480 290600 363250 581200 726500 1162400 1453000 2906000 5812000