Search a number
-
+
24025000 = 2355312
BaseRepresentation
bin101101110100…
…1011110101000
31200012121002211
41123221132220
522122300000
62214534504
7411131506
oct133513650
950177084
1024025000
111261a37a
128067434
134c9249c
143295676
1521987ba
hex16e97a8

24025000 has 72 divisors (see below), whose sum is σ = 58179870. Its totient is φ = 9300000.

The previous prime is 24024991. The next prime is 24025013. The reversal of 24025000 is 52042.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 34596 + 23990404 = 186^2 + 4898^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 774985 + ... + 775015.

Almost surely, 224025000 is an apocalyptic number.

24025000 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 24025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29089935).

24025000 is an abundant number, since it is smaller than the sum of its proper divisors (34154870).

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

24025000 is an frugal number, since it uses more digits than its factorization.

24025000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 24025000 is about 4901.5303732610. The cubic root of 24025000 is about 288.5500355253.

Adding to 24025000 its reverse (52042), we get a palindrome (24077042).

The spelling of 24025000 in words is "twenty-four million, twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 500 620 625 775 961 1000 1240 1250 1550 1922 2500 3100 3125 3844 3875 4805 5000 6200 6250 7688 7750 9610 12500 15500 19220 19375 24025 25000 31000 38440 38750 48050 77500 96100 96875 120125 155000 192200 193750 240250 387500 480500 600625 775000 961000 1201250 2402500 3003125 4805000 6006250 12012500 24025000