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25285000 = 235413389
BaseRepresentation
bin110000001110…
…1000110001000
31202120121111111
41200131012020
522433110000
62301540104
7424630126
oct140350610
952517444
1025285000
11132aaaa4
128574634
135313b50
143502916
152346cba
hex181d188

25285000 has 80 divisors (see below), whose sum is σ = 63963900. Its totient is φ = 9312000.

The previous prime is 25284983. The next prime is 25285009. The reversal of 25285000 is 58252.

It can be written as a sum of positive squares in 10 ways, for example, as 8491396 + 16793604 = 2914^2 + 4098^2 .

It is not an unprimeable number, because it can be changed into a prime (25285009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64806 + ... + 65194.

Almost surely, 225285000 is an apocalyptic number.

25285000 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 25285000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31981950).

25285000 is an abundant number, since it is smaller than the sum of its proper divisors (38678900).

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

25285000 is a wasteful number, since it uses less digits than its factorization.

25285000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 409 counting only the distinct ones).

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

The square root of 25285000 is about 5028.4192347099. The cubic root of 25285000 is about 293.5087048198.

The spelling of 25285000 in words is "twenty-five million, two hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 389 500 520 625 650 778 1000 1250 1300 1556 1625 1945 2500 2600 3112 3250 3890 5000 5057 6500 7780 8125 9725 10114 13000 15560 16250 19450 20228 25285 32500 38900 40456 48625 50570 65000 77800 97250 101140 126425 194500 202280 243125 252850 389000 486250 505700 632125 972500 1011400 1264250 1945000 2528500 3160625 5057000 6321250 12642500 25285000