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506449790 = 25731131433
BaseRepresentation
bin11110001011111…
…100111101111110
31022021222022111122
4132023330331332
52014122343130
6122130550542
715356516000
oct3613747576
91267868448
10506449790
1123a972250
12121738452
1380c02a42
144b394370
152e6de2e5
hex1e2fcf7e

506449790 has 128 divisors (see below), whose sum is σ = 1199923200. Its totient is φ = 152409600.

The previous prime is 506449787. The next prime is 506449819. The reversal of 506449790 is 97944605.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1169414 + ... + 1169846.

It is an arithmetic number, because the mean of its divisors is an integer number (9374400).

Almost surely, 2506449790 is an apocalyptic number.

506449790 is an abundant number, since it is smaller than the sum of its proper divisors (693473410).

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

506449790 is a wasteful number, since it uses less digits than its factorization.

506449790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 506449790 is about 22504.4393398280. The cubic root of 506449790 is about 797.0987568290.

The spelling of 506449790 in words is "five hundred six million, four hundred forty-nine thousand, seven hundred ninety".

Divisors: 1 2 5 7 10 11 14 22 31 35 49 55 62 70 77 98 110 154 155 217 245 310 341 343 385 433 434 490 539 682 686 770 866 1078 1085 1519 1705 1715 2165 2170 2387 2695 3031 3038 3410 3430 3773 4330 4763 4774 5390 6062 7546 7595 9526 10633 11935 13423 15155 15190 16709 18865 21217 21266 23815 23870 26846 30310 33341 33418 37730 42434 47630 53165 66682 67115 83545 93961 106085 106330 116963 134230 147653 148519 166705 167090 187922 212170 233387 233926 295306 297038 333410 466774 469805 584815 657727 738265 742595 939610 1033571 1166935 1169630 1315454 1476530 1485190 1633709 2067142 2333870 3267418 3288635 4604089 5167855 6577270 7234997 8168545 9208178 10335710 14469994 16337090 23020445 36174985 46040890 50644979 72349970 101289958 253224895 506449790