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5440410400 = 25526800513
BaseRepresentation
bin1010001000100011…
…00001001100100000
3112001011002111001111
411010101201030200
542120221113100
62255502513104
7251550503545
oct50421411440
915034074044
105440410400
112341a73947
121079b95794
1368917b769
14398784bcc
1521c94d6ba
hex144461320

5440410400 has 36 divisors (see below), whose sum is σ = 13281403842. Its totient is φ = 2176163840.

The previous prime is 5440410359. The next prime is 5440410419. The reversal of 5440410400 is 40140445.

It can be written as a sum of positive squares in 3 ways, for example, as 4476680464 + 963729936 = 66908^2 + 31044^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3399457 + ... + 3401056.

Almost surely, 25440410400 is an apocalyptic number.

5440410400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5440410400 is an abundant number, since it is smaller than the sum of its proper divisors (7840993442).

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

5440410400 is a wasteful number, since it uses less digits than its factorization.

5440410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6800533 (or 6800520 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 5440410400 is about 73759.1377389948. The cubic root of 5440410400 is about 1758.7760946849.

Adding to 5440410400 its reverse (40140445), we get a palindrome (5480550845).

The spelling of 5440410400 in words is "five billion, four hundred forty million, four hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 6800513 13601026 27202052 34002565 54404104 68005130 108808208 136010260 170012825 217616416 272020520 340025650 544041040 680051300 1088082080 1360102600 2720205200 5440410400