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4028440 = 2351361127
BaseRepresentation
bin1111010111100000011000
321120122222111
433113200120
52012402230
6222202104
746145503
oct17274030
97518874
104028440
112301699
121423334
13ab07c0
1476c13a
1554892a
hex3d7818

4028440 has 64 divisors (see below), whose sum is σ = 9999360. Its totient is φ = 1451520.

The previous prime is 4028429. The next prime is 4028441. The reversal of 4028440 is 448204.

4028440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4028441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 31657 + ... + 31783.

It is an arithmetic number, because the mean of its divisors is an integer number (156240).

Almost surely, 24028440 is an apocalyptic number.

4028440 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 4028440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999680).

4028440 is an abundant number, since it is smaller than the sum of its proper divisors (5970920).

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

4028440 is a wasteful number, since it uses less digits than its factorization.

4028440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 4028440 is about 2007.0974067045. The cubic root of 4028440 is about 159.1154311242.

The spelling of 4028440 in words is "four million, twenty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 127 130 244 254 260 305 488 508 520 610 635 793 1016 1220 1270 1586 1651 2440 2540 3172 3302 3965 5080 6344 6604 7747 7930 8255 13208 15494 15860 16510 30988 31720 33020 38735 61976 66040 77470 100711 154940 201422 309880 402844 503555 805688 1007110 2014220 4028440