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5509440 = 263251913
BaseRepresentation
bin10101000001000101000000
3101100220112100
4111001011000
52402300230
6314030400
764554336
oct25010500
911326470
105509440
113123362
121a18400
1311ab931
14a35b56
1573c660
hex541140

5509440 has 84 divisors (see below), whose sum is σ = 18960084. Its totient is φ = 1468416.

The previous prime is 5509433. The next prime is 5509451. The reversal of 5509440 is 449055.

It can be written as a sum of positive squares in 2 ways, for example, as 3504384 + 2005056 = 1872^2 + 1416^2 .

It is a super-2 number, since 2×55094402 = 60707858227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1924 + ... + 3836.

Almost surely, 25509440 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 5509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9480042).

5509440 is an abundant number, since it is smaller than the sum of its proper divisors (13450644).

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

5509440 is a wasteful number, since it uses less digits than its factorization.

5509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5509440 is about 2347.2196318197. The cubic root of 5509440 is about 176.6183484016.

The spelling of 5509440 in words is "five million, five hundred nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 1913 2880 3826 5739 7652 9565 11478 15304 17217 19130 22956 28695 30608 34434 38260 45912 57390 61216 68868 76520 86085 91824 114780 122432 137736 153040 172170 183648 229560 275472 306080 344340 367296 459120 550944 612160 688680 918240 1101888 1377360 1836480 2754720 5509440