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5440410448 = 2411171995701
BaseRepresentation
bin1010001000100011…
…00001001101010000
3112001011002111010021
411010101201031100
542120221113243
62255502513224
7251550503644
oct50421411520
915034074107
105440410448
112341a73990
121079b95814
1368917b7a5
14398784c24
1521c94d6ed
hex144461350

5440410448 has 80 divisors (see below), whose sum is σ = 12816411840. Its totient is φ = 2204928000.

The previous prime is 5440410419. The next prime is 5440410449. The reversal of 5440410448 is 8440140445.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5440410449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8998 + ... + 104698.

It is an arithmetic number, because the mean of its divisors is an integer number (160205148).

Almost surely, 25440410448 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 5440410448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6408205920).

5440410448 is an abundant number, since it is smaller than the sum of its proper divisors (7376001392).

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

5440410448 is a wasteful number, since it uses less digits than its factorization.

5440410448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95756 (or 95750 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 34.

The square root of 5440410448 is about 73759.1380643782. The cubic root of 5440410448 is about 1758.7760998574.

The spelling of 5440410448 in words is "five billion, four hundred forty million, four hundred ten thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 17 19 22 34 38 44 68 76 88 136 152 176 187 209 272 304 323 374 418 646 748 836 1292 1496 1672 2584 2992 3344 3553 5168 7106 14212 28424 56848 95701 191402 382804 765608 1052711 1531216 1626917 1818319 2105422 3253834 3636638 4210844 6507668 7273276 8421688 13015336 14546552 16843376 17896087 20001509 26030672 29093104 30911423 35792174 40003018 61822846 71584348 80006036 123645692 143168696 160012072 247291384 286337392 320024144 340025653 494582768 680051306 1360102612 2720205224 5440410448