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5644400 = 2452103137
BaseRepresentation
bin10101100010000001110000
3101121202122212
4111202001300
52421110100
6320551252
765655656
oct25420160
911552585
105644400
1132057a3
121a82528
1312281a8
14a6cdd6
15767635
hex562070

5644400 has 60 divisors (see below), whose sum is σ = 13792272. Its totient is φ = 2219520.

The previous prime is 5644399. The next prime is 5644409. The reversal of 5644400 is 44465.

It is a happy number.

5644400 is nontrivially palindromic in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5644409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41132 + ... + 41268.

Almost surely, 25644400 is an apocalyptic number.

5644400 is a gapful number since it is divisible by the number (50) 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 5644400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6896136).

5644400 is an abundant number, since it is smaller than the sum of its proper divisors (8147872).

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

5644400 is a wasteful number, since it uses less digits than its factorization.

5644400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 5644400 is about 2375.7946039168. The cubic root of 5644400 is about 178.0488861224.

Adding to 5644400 its reverse (44465), we get a palindrome (5688865).

The spelling of 5644400 in words is "five million, six hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 103 137 200 206 274 400 412 515 548 685 824 1030 1096 1370 1648 2060 2192 2575 2740 3425 4120 5150 5480 6850 8240 10300 10960 13700 14111 20600 27400 28222 41200 54800 56444 70555 112888 141110 225776 282220 352775 564440 705550 1128880 1411100 2822200 5644400