Search a number
-
+
4285440 = 21033531
BaseRepresentation
bin10000010110010000000000
322001201112000
4100112100000
52044113230
6231504000
751265665
oct20262000
98051460
104285440
112467795
121528000
13b70783
147d7a6c
15599b60
hex416400

4285440 has 176 divisors, whose sum is σ = 15720960. Its totient is φ = 1105920.

The previous prime is 4285427. The next prime is 4285447. The reversal of 4285440 is 445824.

4285440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4285447) 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 15 ways as a sum of consecutive naturals, for example, 138225 + ... + 138255.

Almost surely, 24285440 is an apocalyptic number.

4285440 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 4285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7860480).

4285440 is an abundant number, since it is smaller than the sum of its proper divisors (11435520).

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

4285440 is a wasteful number, since it uses less digits than its factorization.

4285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4285440 is about 2070.1304306734. The cubic root of 4285440 is about 162.4295868506.

The spelling of 4285440 in words is "four million, two hundred eighty-five thousand, four hundred forty".