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505640856 = 233759139367
BaseRepresentation
bin11110001000110…
…111011110011000
31022020110012212010
4132020313132120
52013421001411
6122101345520
715346606410
oct3610673630
91266405763
10505640856
1123a46a506
121214082a0
13809ab796
144b223640
152e5ce7a6
hex1e237798

505640856 has 128 divisors (see below), whose sum is σ = 1483776000. Its totient is φ = 140614272.

The previous prime is 505640831. The next prime is 505640867. The reversal of 505640856 is 658046505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1377585 + ... + 1377951.

It is an arithmetic number, because the mean of its divisors is an integer number (11592000).

Almost surely, 2505640856 is an apocalyptic number.

505640856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505640856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741888000).

505640856 is an abundant number, since it is smaller than the sum of its proper divisors (978135144).

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

505640856 is a wasteful number, since it uses less digits than its factorization.

505640856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 505640856 is about 22486.4593922654. The cubic root of 505640856 is about 796.6741382990.

The spelling of 505640856 in words is "five hundred five million, six hundred forty thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 139 168 177 236 278 354 367 413 417 472 556 708 734 826 834 973 1101 1112 1239 1416 1468 1652 1668 1946 2202 2478 2569 2919 2936 3304 3336 3892 4404 4956 5138 5838 7707 7784 8201 8808 9912 10276 11676 15414 16402 20552 21653 23352 24603 30828 32804 43306 49206 51013 57407 61656 64959 65608 86612 98412 102026 114814 129918 151571 153039 172221 173224 196824 204052 229628 259836 303142 306078 344442 357091 408104 454713 459256 519672 606284 612156 688884 714182 909426 1071273 1212568 1224312 1377768 1428364 1818852 2142546 2856728 3009767 3637704 4285092 6019534 8570184 9029301 12039068 18058602 21068369 24078136 36117204 42136738 63205107 72234408 84273476 126410214 168546952 252820428 505640856