[go: up one dir, main page]

Search a number
-
+
4490040 = 2335173171
BaseRepresentation
bin10001001000001100111000
322110010011210
4101020030320
52122140130
6240123120
753110332
oct21101470
98403153
104490040
112597485
1216064a0
13c12939
1484c452
155da5b0
hex448338

4490040 has 128 divisors (see below), whose sum is σ = 14929920. Its totient is φ = 1075200.

The previous prime is 4490029. The next prime is 4490053. The reversal of 4490040 is 400944.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4489989 and 4490016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63205 + ... + 63275.

It is an arithmetic number, because the mean of its divisors is an integer number (116640).

Almost surely, 24490040 is an apocalyptic number.

4490040 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 4490040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7464960).

4490040 is an abundant number, since it is smaller than the sum of its proper divisors (10439880).

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

4490040 is a wasteful number, since it uses less digits than its factorization.

4490040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4490040 is about 2118.9714486043. The cubic root of 4490040 is about 164.9744680421.

Adding to 4490040 its reverse (400944), we get a palindrome (4890984).

The spelling of 4490040 in words is "four million, four hundred ninety thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 31 34 40 51 60 62 68 71 85 93 102 120 124 136 142 155 170 186 204 213 248 255 284 310 340 355 372 408 426 465 510 527 568 620 680 710 744 852 930 1020 1054 1065 1207 1240 1420 1581 1704 1860 2040 2108 2130 2201 2414 2635 2840 3162 3621 3720 4216 4260 4402 4828 5270 6035 6324 6603 7242 7905 8520 8804 9656 10540 11005 12070 12648 13206 14484 15810 17608 18105 21080 22010 24140 26412 28968 31620 33015 36210 37417 44020 48280 52824 63240 66030 72420 74834 88040 112251 132060 144840 149668 187085 224502 264120 299336 374170 449004 561255 748340 898008 1122510 1496680 2245020 4490040