Search a number
-
+
4442040 = 23355457
BaseRepresentation
bin10000111100011110111000
322100200100000
4100330132320
52114121130
6235113000
752520361
oct20743670
98320300
104442040
112564409
1215a2760
13bc6b35
14838b68
155cb260
hex43c7b8

4442040 has 96 divisors (see below), whose sum is σ = 15004080. Its totient is φ = 1181952.

The previous prime is 4442027. The next prime is 4442041. The reversal of 4442040 is 402444.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4442041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9492 + ... + 9948.

Almost surely, 24442040 is an apocalyptic number.

4442040 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 4442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7502040).

4442040 is an abundant number, since it is smaller than the sum of its proper divisors (10562040).

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

4442040 is a wasteful number, since it uses less digits than its factorization.

4442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 467 counting only the distinct ones).

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

The square root of 4442040 is about 2107.6147655584. The cubic root of 4442040 is about 164.3844835907.

Adding to 4442040 its reverse (402444), we get a palindrome (4844484).

The spelling of 4442040 in words is "four million, four hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 457 486 540 648 810 914 972 1080 1215 1371 1620 1828 1944 2285 2430 2742 3240 3656 4113 4570 4860 5484 6855 8226 9140 9720 10968 12339 13710 16452 18280 20565 24678 27420 32904 37017 41130 49356 54840 61695 74034 82260 98712 111051 123390 148068 164520 185085 222102 246780 296136 370170 444204 493560 555255 740340 888408 1110510 1480680 2221020 4442040