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4040424 = 2332173301
BaseRepresentation
bin1111011010011011101000
321121021102100
433122123220
52013243144
6222333400
746225443
oct17323350
97537370
104040424
11230a6a3
12142a260
13ab60ab
1477265a
1554c269
hex3da6e8

4040424 has 48 divisors (see below), whose sum is σ = 11590020. Its totient is φ = 1267200.

The previous prime is 4040419. The next prime is 4040429. The reversal of 4040424 is 4240404.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4040419) and next prime (4040429).

It can be written as a sum of positive squares in 2 ways, for example, as 4040100 + 324 = 2010^2 + 18^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4040397 and 4040406.

It is not an unprimeable number, because it can be changed into a prime (4040429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 427 + ... + 2874.

Almost surely, 24040424 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 4040424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5795010).

4040424 is an abundant number, since it is smaller than the sum of its proper divisors (7549596).

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

4040424 is a wasteful number, since it uses less digits than its factorization.

4040424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330 (or 3323 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4040424 is about 2010.0805953991. The cubic root of 4040424 is about 159.2730563747.

Adding to 4040424 its reverse (4240404), we get a palindrome (8280828).

The spelling of 4040424 in words is "four million, forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 3301 6602 9903 13204 19806 26408 29709 39612 56117 59418 79224 112234 118836 168351 224468 237672 336702 448936 505053 673404 1010106 1346808 2020212 4040424