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2440928 = 25717641
BaseRepresentation
bin1001010011111011100000
311121000022202
421103323200
51111102203
6124152332
726514260
oct11237340
94530282
102440928
1114179a6
129986a8
13676049
144777a0
15333388
hex253ee0

2440928 has 48 divisors (see below), whose sum is σ = 5824224. Its totient is φ = 983040.

The previous prime is 2440883. The next prime is 2440937. The reversal of 2440928 is 8290442.

2440928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 2440928.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3488 + ... + 4128.

It is an arithmetic number, because the mean of its divisors is an integer number (121338).

22440928 is an apocalyptic number.

2440928 is a gapful number since it is divisible by the number (28) 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 2440928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912112).

2440928 is an abundant number, since it is smaller than the sum of its proper divisors (3383296).

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

2440928 is a wasteful number, since it uses less digits than its factorization.

2440928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 2440928 is about 1562.3469525045. The cubic root of 2440928 is about 134.6433751612.

The spelling of 2440928 in words is "two million, four hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 641 952 1282 1904 2564 3808 4487 5128 8974 10256 10897 17948 20512 21794 35896 43588 71792 76279 87176 143584 152558 174352 305116 348704 610232 1220464 2440928