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25385000 = 23545077
BaseRepresentation
bin110000011010…
…1100000101000
31202202200200012
41200311200220
522444310000
62304031052
7425524514
oct140654050
952680605
1025385000
1113369143
128602488
13534a514
14352b144
152366735
hex1835828

25385000 has 40 divisors (see below), whose sum is σ = 59488770. Its totient is φ = 10152000.

The previous prime is 25384999. The next prime is 25385011. The reversal of 25385000 is 58352.

It can be written as a sum of positive squares in 5 ways, for example, as 4169764 + 21215236 = 2042^2 + 4606^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2462 + ... + 7538.

Almost surely, 225385000 is an apocalyptic number.

25385000 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 25385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29744385).

25385000 is an abundant number, since it is smaller than the sum of its proper divisors (34103770).

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

25385000 is an equidigital number, since it uses as much as digits as its factorization.

25385000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5103 (or 5084 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 25385000 is about 5038.3529054642. The cubic root of 25385000 is about 293.8951297342.

The spelling of 25385000 in words is "twenty-five million, three hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 5077 10154 20308 25385 40616 50770 101540 126925 203080 253850 507700 634625 1015400 1269250 2538500 3173125 5077000 6346250 12692500 25385000