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505341440 = 2951091811
BaseRepresentation
bin11110000111101…
…110011000000000
31022012220000010122
4132013232120000
52013331411230
6122051115412
715344221442
oct3607563000
91265800118
10505341440
1123a28555a
121212a2b68
1380905406
144b186492
152e570be5
hex1e1ee600

505341440 has 80 divisors (see below), whose sum is σ = 1223426160. Its totient is φ = 200171520.

The previous prime is 505341427. The next prime is 505341451. The reversal of 505341440 is 44143505.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278135 + ... + 279945.

It is an arithmetic number, because the mean of its divisors is an integer number (15292827).

Almost surely, 2505341440 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 505341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611713080).

505341440 is an abundant number, since it is smaller than the sum of its proper divisors (718084720).

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

505341440 is a wasteful number, since it uses less digits than its factorization.

505341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 505341440 is about 22479.8007108604. The cubic root of 505341440 is about 796.5168566501.

Adding to 505341440 its reverse (44143505), we get a palindrome (549484945).

The spelling of 505341440 in words is "five hundred five million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 128 160 218 256 320 436 512 545 640 872 1090 1280 1744 1811 2180 2560 3488 3622 4360 6976 7244 8720 9055 13952 14488 17440 18110 27904 28976 34880 36220 55808 57952 69760 72440 115904 139520 144880 197399 231808 279040 289760 394798 463616 579520 789596 927232 986995 1159040 1579192 1973990 2318080 3158384 3947980 4636160 6316768 7895960 12633536 15791920 25267072 31583840 50534144 63167680 101068288 126335360 252670720 505341440