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505296740 = 2251316311923
BaseRepresentation
bin11110000111100…
…011011101100100
31022012210201211002
4132013203131210
52013323443430
6122050132432
715343644224
oct3607433544
91265721732
10505296740
1123a254a13
12121281118
13808bac70
144b174084
152e562845
hex1e1e3764

505296740 has 48 divisors (see below), whose sum is σ = 1149855168. Its totient is φ = 185410944.

The previous prime is 505296731. The next prime is 505296767. The reversal of 505296740 is 47692505.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 505296694 and 505296703.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36419 + ... + 48341.

It is an arithmetic number, because the mean of its divisors is an integer number (23955316).

Almost surely, 2505296740 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 505296740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574927584).

505296740 is an abundant number, since it is smaller than the sum of its proper divisors (644558428).

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

505296740 is a wasteful number, since it uses less digits than its factorization.

505296740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12108 (or 12106 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 505296740 is about 22478.8064629775. The cubic root of 505296740 is about 796.4933706461.

The spelling of 505296740 in words is "five hundred five million, two hundred ninety-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 163 260 326 652 815 1630 2119 3260 4238 8476 10595 11923 21190 23846 42380 47692 59615 119230 154999 238460 309998 619996 774995 1549990 1943449 3099980 3886898 7773796 9717245 19434490 25264837 38868980 50529674 101059348 126324185 252648370 505296740