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505399040 = 2851273109
BaseRepresentation
bin11110000111111…
…100011100000000
31022012222221010222
4132013330130000
52013340232130
6122052242212
715344551406
oct3607743400
91265887128
10505399040
1123a314863
12121310368
13809256b3
144b19d476
152e582ce5
hex1e1fc700

505399040 has 72 divisors (see below), whose sum is σ = 1220513280. Its totient is φ = 200503296.

The previous prime is 505399039. The next prime is 505399067. The reversal of 505399040 is 40993505.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161006 + ... + 164114.

Almost surely, 2505399040 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 505399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610256640).

505399040 is an abundant number, since it is smaller than the sum of its proper divisors (715114240).

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

505399040 is a wasteful number, since it uses less digits than its factorization.

505399040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 35.

The square root of 505399040 is about 22481.0818245030. The cubic root of 505399040 is about 796.5471184522.

The spelling of 505399040 in words is "five hundred five million, three hundred ninety-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 254 256 320 508 635 640 1016 1270 1280 2032 2540 3109 4064 5080 6218 8128 10160 12436 15545 16256 20320 24872 31090 32512 40640 49744 62180 81280 99488 124360 162560 198976 248720 394843 397952 497440 789686 795904 994880 1579372 1974215 1989760 3158744 3948430 3979520 6317488 7896860 12634976 15793720 25269952 31587440 50539904 63174880 101079808 126349760 252699520 505399040