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5825000 = 2355233
BaseRepresentation
bin10110001110000111101000
3101221221101202
4112032013220
52442400000
6324503332
7100340336
oct26160750
911857352
105825000
113319455
121b4ab48
13128c45c
14ab8b56
157a0dd5
hex58e1e8

5825000 has 48 divisors (see below), whose sum is σ = 13710060. Its totient is φ = 2320000.

The previous prime is 5824979. The next prime is 5825009. The reversal of 5825000 is 5285.

It can be written as a sum of positive squares in 6 ways, for example, as 1406596 + 4418404 = 1186^2 + 2102^2 .

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 (5825009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24884 + ... + 25116.

Almost surely, 25825000 is an apocalyptic number.

5825000 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 5825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6855030).

5825000 is an abundant number, since it is smaller than the sum of its proper divisors (7885060).

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

5825000 is an equidigital number, since it uses as much as digits as its factorization.

5825000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 5825000 is about 2413.5036772294. The cubic root of 5825000 is about 179.9279547067.

The spelling of 5825000 in words is "five million, eight hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 233 250 466 500 625 932 1000 1165 1250 1864 2330 2500 3125 4660 5000 5825 6250 9320 11650 12500 23300 25000 29125 46600 58250 116500 145625 233000 291250 582500 728125 1165000 1456250 2912500 5825000