Search a number
-
+
2450258000 = 24531225129
BaseRepresentation
bin1001001000001011…
…1111100001010000
320022202121000002022
42102002333201100
520004231224000
61043045311012
7114501564221
oct22202774120
96282530068
102450258000
11104811a113
12584705468
13300834608
141935c3248
15e51a2585
hex920bf850

2450258000 has 40 divisors (see below), whose sum is σ = 5924728680. Its totient is φ = 980102400.

The previous prime is 2450257981. The next prime is 2450258009. The reversal of 2450258000 is 8520542.

It can be written as a sum of positive squares in 4 ways, for example, as 11478544 + 2438779456 = 3388^2 + 49384^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2450258009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 610565 + ... + 614564.

It is an arithmetic number, because the mean of its divisors is an integer number (148118217).

Almost surely, 22450258000 is an apocalyptic number.

2450258000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2450258000 is an abundant number, since it is smaller than the sum of its proper divisors (3474470680).

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

2450258000 is a wasteful number, since it uses less digits than its factorization.

2450258000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225152 (or 1225136 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 2450258000 is about 49500.0808080148. The cubic root of 2450258000 is about 1348.1470692794.

Adding to 2450258000 its reverse (8520542), we get a palindrome (2458778542).

The spelling of 2450258000 in words is "two billion, four hundred fifty million, two hundred fifty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 1225129 2450258 4900516 6125645 9801032 12251290 19602064 24502580 30628225 49005160 61256450 98010320 122512900 153141125 245025800 306282250 490051600 612564500 1225129000 2450258000