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4225840 = 245101523
BaseRepresentation
bin10000000111101100110000
321221200202121
4100013230300
52040211330
6230324024
750630143
oct20075460
97850677
104225840
112426a33
1214b9614
13b4c5c8
147c005a
1558717a
hex407b30

4225840 has 40 divisors (see below), whose sum is σ = 9941328. Its totient is φ = 1670400.

The previous prime is 4225811. The next prime is 4225841. The reversal of 4225840 is 485224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4225841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7819 + ... + 8341.

Almost surely, 24225840 is an apocalyptic number.

4225840 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 4225840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4970664).

4225840 is an abundant number, since it is smaller than the sum of its proper divisors (5715488).

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

4225840 is a wasteful number, since it uses less digits than its factorization.

4225840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 4225840 is about 2055.6848007416. The cubic root of 4225840 is about 161.6730692662.

The spelling of 4225840 in words is "four million, two hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 523 808 1010 1046 1616 2020 2092 2615 4040 4184 5230 8080 8368 10460 20920 41840 52823 105646 211292 264115 422584 528230 845168 1056460 2112920 4225840