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2425984 = 27111723
BaseRepresentation
bin1001010000010010000000
311120020211021
421100102000
51110112414
6123555224
726422561
oct11202200
94506737
102425984
111407750
1298bb14
1366c2c2
14472168
1532dc24
hex250480

2425984 has 32 divisors (see below), whose sum is σ = 5275440. Its totient is φ = 1102080.

The previous prime is 2425981. The next prime is 2425991. The reversal of 2425984 is 4895242.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2425981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 547 + ... + 2269.

22425984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2425984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637720).

2425984 is an abundant number, since it is smaller than the sum of its proper divisors (2849456).

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

2425984 is a wasteful number, since it uses less digits than its factorization.

2425984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1736 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 2425984 is about 1557.5570615550. The cubic root of 2425984 is about 134.3680385072.

It can be divided in two parts, 242 and 5984, that added together give a palindrome (6226).

The spelling of 2425984 in words is "two million, four hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 1723 3446 6892 13784 18953 27568 37906 55136 75812 110272 151624 220544 303248 606496 1212992 2425984