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505109504 = 2104153227
BaseRepresentation
bin11110000110110…
…101110000000000
31022012110012222102
4132012311300000
52013302001004
6122042125532
715342234314
oct3606656000
91265405872
10505109504
1123a137279
121211b08a8
1380853983
144b125b44
152e52711e
hex1e1b5c00

505109504 has 88 divisors (see below), whose sum is σ = 1058511888. Its totient is φ = 240680960.

The previous prime is 505109461. The next prime is 505109537. The reversal of 505109504 is 405901505.

It is a super-2 number, since 2×5051095042 = 510271222062252032, which contains 22 as substring.

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, 2225039 + ... + 2225265.

Almost surely, 2505109504 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 505109504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529255944).

505109504 is an abundant number, since it is smaller than the sum of its proper divisors (553402384).

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

505109504 is a wasteful number, since it uses less digits than its factorization.

505109504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 505109504 is about 22474.6413542019. The cubic root of 505109504 is about 796.3949791829.

The spelling of 505109504 in words is "five hundred five million, one hundred nine thousand, five hundred four".

Divisors: 1 2 4 8 16 32 41 53 64 82 106 128 164 212 227 256 328 424 454 512 656 848 908 1024 1312 1696 1816 2173 2624 3392 3632 4346 5248 6784 7264 8692 9307 10496 12031 13568 14528 17384 18614 20992 24062 27136 29056 34768 37228 41984 48124 54272 58112 69536 74456 96248 116224 139072 148912 192496 232448 278144 297824 384992 493271 556288 595648 769984 986542 1112576 1191296 1539968 1973084 2225152 2382592 3079936 3946168 4765184 6159872 7892336 9530368 12319744 15784672 31569344 63138688 126277376 252554752 505109504