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4042440 = 2333519197
BaseRepresentation
bin1111011010111011001000
321121101012000
433122323020
52013324230
6222351000
746234353
oct17327310
97541160
104042440
112311166
12142b460
13ab6c9c
1477329a
1554cb60
hex3daec8

4042440 has 128 divisors (see below), whose sum is σ = 14256000. Its totient is φ = 1016064.

The previous prime is 4042433. The next prime is 4042463. The reversal of 4042440 is 442404.

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 an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 20422 + ... + 20618.

It is an arithmetic number, because the mean of its divisors is an integer number (111375).

Almost surely, 24042440 is an apocalyptic number.

4042440 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 4042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7128000).

4042440 is an abundant number, since it is smaller than the sum of its proper divisors (10213560).

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

4042440 is a wasteful number, since it uses less digits than its factorization.

4042440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

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

The square root of 4042440 is about 2010.5820052910. The cubic root of 4042440 is about 159.2995421339.

Adding to 4042440 its reverse (442404), we get a palindrome (4484844).

The spelling of 4042440 in words is "four million, forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 197 216 228 270 285 342 360 380 394 456 513 540 570 591 684 760 788 855 985 1026 1080 1140 1182 1368 1576 1710 1773 1970 2052 2280 2364 2565 2955 3420 3546 3743 3940 4104 4728 5130 5319 5910 6840 7092 7486 7880 8865 10260 10638 11229 11820 14184 14972 17730 18715 20520 21276 22458 23640 26595 29944 33687 35460 37430 42552 44916 53190 56145 67374 70920 74860 89832 101061 106380 112290 134748 149720 168435 202122 212760 224580 269496 336870 404244 449160 505305 673740 808488 1010610 1347480 2021220 4042440