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2484000 = 25335323
BaseRepresentation
bin1001011110011100100000
311200012102000
421132130200
51113442000
6125124000
730053661
oct11363440
94605360
102484000
1114472a2
129b9600
1368c82c
14489368
15341000
hex25e720

2484000 has 192 divisors, whose sum is σ = 9434880. Its totient is φ = 633600.

The previous prime is 2483953. The next prime is 2484011. The reversal of 2484000 is 4842.

2484000 = T246 + T247 + ... + T309.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107989 + ... + 108011.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

22484000 is an apocalyptic number.

2484000 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 2484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440).

2484000 is an abundant number, since it is smaller than the sum of its proper divisors (6950880).

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

2484000 is a wasteful number, since it uses less digits than its factorization.

2484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2484000 is about 1576.0710643876. The cubic root of 2484000 is about 135.4307230642.

Adding to 2484000 its reverse (4842), we get a palindrome (2488842).

The spelling of 2484000 in words is "two million, four hundred eighty-four thousand".