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2424928 = 2511832
BaseRepresentation
bin1001010000000001100000
311120012101011
421100001200
51110044203
6123550304
726416522
oct11200140
94505334
102424928
111406980
1298b394
1366b98c
14471a12
1532d76d
hex250060

2424928 has 36 divisors (see below), whose sum is σ = 5271588. Its totient is φ = 1088960.

The previous prime is 2424907. The next prime is 2424937. The reversal of 2424928 is 8294242.

Its product of digits (9216) is a multiple of the sum of its prime divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2424928.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 29175 + ... + 29257.

It is an arithmetic number, because the mean of its divisors is an integer number (146433).

22424928 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 2424928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635794).

2424928 is an abundant number, since it is smaller than the sum of its proper divisors (2846660).

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

2424928 is an equidigital number, since it uses as much as digits as its factorization.

2424928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 96 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 2424928 is about 1557.2180322614. The cubic root of 2424928 is about 134.3485394446.

The spelling of 2424928 in words is "two million, four hundred twenty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 83 88 166 176 332 352 664 913 1328 1826 2656 3652 6889 7304 13778 14608 27556 29216 55112 75779 110224 151558 220448 303116 606232 1212464 2424928