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4884000 = 253531137
BaseRepresentation
bin10010101000011000100000
3100012010120220
4102220120200
52222242000
6252403040
756341032
oct22503040
910163526
104884000
112836470
121776480
131020054
14911c52
156671a0
hex4a8620

4884000 has 192 divisors, whose sum is σ = 17926272. Its totient is φ = 1152000.

The previous prime is 4883999. The next prime is 4884001. The reversal of 4884000 is 4884.

It is an interprime number because it is at equal distance from previous prime (4883999) and next prime (4884001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (4884001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131982 + ... + 132018.

It is an arithmetic number, because the mean of its divisors is an integer number (93366).

Almost surely, 24884000 is an apocalyptic number.

4884000 is a gapful number since it is divisible by the number (40) 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 4884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8963136).

4884000 is an abundant number, since it is smaller than the sum of its proper divisors (13042272).

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

4884000 is a wasteful number, since it uses less digits than its factorization.

4884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 4884000 is about 2209.9773754498. The cubic root of 4884000 is about 169.6648529717.

Adding to 4884000 its reverse (4884), we get a palindrome (4888884).

4884000 divided by its reverse (4884) gives a cube (1000 = 103).

It can be divided in two parts, 48 and 84000, that added together give a palindrome (84048).

The spelling of 4884000 in words is "four million, eight hundred eighty-four thousand".