Search a number
-
+
4040442 = 23472509
BaseRepresentation
bin1111011010011011111010
321121021110000
433122123322
52013243232
6222333430
746225500
oct17323372
97537400
104040442
11230a70a
12142a276
13ab60c3
14772670
1554c27c
hex3da6fa

4040442 has 60 divisors (see below), whose sum is σ = 10552410. Its totient is φ = 1152144.

The previous prime is 4040431. The next prime is 4040459. The reversal of 4040442 is 2440404.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2893401 + 1147041 = 1701^2 + 1071^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7684 + ... + 8192.

Almost surely, 24040442 is an apocalyptic number.

4040442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4040442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5276205).

4040442 is an abundant number, since it is smaller than the sum of its proper divisors (6511968).

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

4040442 is a wasteful number, since it uses less digits than its factorization.

4040442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 521 counting only the distinct ones).

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

The square root of 4040442 is about 2010.0850728265. The cubic root of 4040442 is about 159.2732928936.

Adding to 4040442 its reverse (2440404), we get a palindrome (6480846).

The spelling of 4040442 in words is "four million, forty thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 509 567 882 1018 1134 1323 1527 2646 3054 3563 3969 4581 7126 7938 9162 10689 13743 21378 24941 27486 32067 41229 49882 64134 74823 82458 96201 149646 192402 224469 288603 448938 577206 673407 1346814 2020221 4040442