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25825000 = 23551033
BaseRepresentation
bin110001010000…
…0111011101000
31210121001020111
41202200323220
523102400000
62321304104
7432336355
oct142407350
953531214
1025825000
1113639783
128795034
135472886
14360362c
152401cba
hex18a0ee8

25825000 has 48 divisors (see below), whose sum is σ = 60582060. Its totient is φ = 10320000.

The previous prime is 25824979. The next prime is 25825003. The reversal of 25825000 is 52852.

It can be written as a sum of positive squares in 6 ways, for example, as 79524 + 25745476 = 282^2 + 5074^2 .

It is not an unprimeable number, because it can be changed into a prime (25825003) 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, 24484 + ... + 25516.

Almost surely, 225825000 is an apocalyptic number.

25825000 is a gapful number since it is divisible by the number (20) 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 25825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30291030).

25825000 is an abundant number, since it is smaller than the sum of its proper divisors (34757060).

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

25825000 is an equidigital number, since it uses as much as digits as its factorization.

25825000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 25825000 is about 5081.8303789088. The cubic root of 25825000 is about 295.5834474298.

Adding to 25825000 its reverse (52852), we get a palindrome (25877852).

The spelling of 25825000 in words is "twenty-five million, eight hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1033 1250 2066 2500 3125 4132 5000 5165 6250 8264 10330 12500 20660 25000 25825 41320 51650 103300 129125 206600 258250 516500 645625 1033000 1291250 2582500 3228125 5165000 6456250 12912500 25825000