[go: up one dir, main page]

Search a number
-
+
2025254440 = 2351122947307
BaseRepresentation
bin111100010110110…
…1110111000101000
312020010212120210201
41320231232320220
513121431120230
6532544121544
7101121243616
oct17055567050
95203776721
102025254440
1194a226700
124863062b4
1326377a311
14152d906b6
15bcc005ca
hex78b6ee28

2025254440 has 192 divisors, whose sum is σ = 5308934400. Its totient is φ = 693665280.

The previous prime is 2025254437. The next prime is 2025254449. The reversal of 2025254440 is 444525202.

It is a junction number, because it is equal to n+sod(n) for n = 2025254399 and 2025254408.

It is not an unprimeable number, because it can be changed into a prime (2025254449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6596767 + ... + 6597073.

It is an arithmetic number, because the mean of its divisors is an integer number (27650700).

Almost surely, 22025254440 is an apocalyptic number.

2025254440 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 2025254440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654467200).

2025254440 is an abundant number, since it is smaller than the sum of its proper divisors (3283679960).

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

2025254440 is a wasteful number, since it uses less digits than its factorization.

2025254440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

The square root of 2025254440 is about 45002.8270223105. The cubic root of 2025254440 is about 1265.2019841303.

Adding to 2025254440 its reverse (444525202), we get a palindrome (2469779642).

The spelling of 2025254440 in words is "two billion, twenty-five million, two hundred fifty-four thousand, four hundred forty".