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24425000 = 2355977
BaseRepresentation
bin101110100101…
…1001000101000
31200221220210122
41131023020220
522223100000
62231302412
7414415625
oct135131050
950856718
1024425000
1112872956
12821aa08
1350a2582
14335b34c
152227085
hex174b228

24425000 has 48 divisors (see below), whose sum is σ = 57301020. Its totient is φ = 9760000.

The previous prime is 24424999. The next prime is 24425003. The reversal of 24425000 is 52442.

It can be written as a sum of positive squares in 6 ways, for example, as 198916 + 24226084 = 446^2 + 4922^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 24425000.

It is not an unprimeable number, because it can be changed into a prime (24425003) 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, 24512 + ... + 25488.

Almost surely, 224425000 is an apocalyptic number.

24425000 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 24425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28650510).

24425000 is an abundant number, since it is smaller than the sum of its proper divisors (32876020).

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

24425000 is an frugal number, since it uses more digits than its factorization.

24425000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 24425000 is about 4942.1655172606. The cubic root of 24425000 is about 290.1426171288.

Adding to 24425000 its reverse (52442), we get a palindrome (24477442).

The spelling of 24425000 in words is "twenty-four million, four hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 977 1000 1250 1954 2500 3125 3908 4885 5000 6250 7816 9770 12500 19540 24425 25000 39080 48850 97700 122125 195400 244250 488500 610625 977000 1221250 2442500 3053125 4885000 6106250 12212500 24425000