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505074408 = 233414767163
BaseRepresentation
bin11110000110101…
…101001011101000
31022012101102211120
4132012231023220
52013244340113
6122041255240
715342030066
oct3606551350
91265342746
10505074408
1123a112973
12121194520
13808409c7
144b117036
152e51ba23
hex1e1ad2e8

505074408 has 128 divisors (see below), whose sum is σ = 1348945920. Its totient is φ = 157386240.

The previous prime is 505074407. The next prime is 505074419. The reversal of 505074408 is 804470505.

It is not an unprimeable number, because it can be changed into a prime (505074407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3098535 + ... + 3098697.

It is an arithmetic number, because the mean of its divisors is an integer number (10538640).

Almost surely, 2505074408 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 505074408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674472960).

505074408 is an abundant number, since it is smaller than the sum of its proper divisors (843871512).

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

505074408 is a wasteful number, since it uses less digits than its factorization.

505074408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 505074408 is about 22473.8605495362. The cubic root of 505074408 is about 796.3765337268.

The spelling of 505074408 in words is "five hundred five million, seventy-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 24 41 47 67 82 94 123 134 141 163 164 188 201 246 268 282 326 328 376 402 489 492 536 564 652 804 978 984 1128 1304 1608 1927 1956 2747 3149 3854 3912 5494 5781 6298 6683 7661 7708 8241 9447 10921 10988 11562 12596 13366 15322 15416 16482 18894 20049 21842 21976 22983 23124 25192 26732 30644 32763 32964 37788 40098 43684 45966 46248 53464 61288 65526 65928 75576 80196 87368 91932 129109 131052 160392 183864 258218 262104 314101 387327 447761 513287 516436 628202 774654 895522 942303 1026574 1032872 1256404 1343283 1539861 1549308 1791044 1884606 2053148 2512808 2686566 3079722 3098616 3582088 3769212 4106296 5373132 6159444 7538424 10746264 12318888 21044767 42089534 63134301 84179068 126268602 168358136 252537204 505074408