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505030968 = 2332131721867
BaseRepresentation
bin11110000110100…
…010100100111000
31022012022020020200
4132012202210320
52013241442333
6122040322200
715341456331
oct3606424470
91265266220
10505030968
1123a093272
12121173360
1380826cc0
144b105288
152e50dc13
hex1e1a2938

505030968 has 144 divisors (see below), whose sum is σ = 1565589480. Its totient is φ = 146174976.

The previous prime is 505030961. The next prime is 505030979. The reversal of 505030968 is 869030505.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505030961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 269571 + ... + 271437.

Almost surely, 2505030968 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 505030968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782794740).

505030968 is an abundant number, since it is smaller than the sum of its proper divisors (1060558512).

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

505030968 is a wasteful number, since it uses less digits than its factorization.

505030968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 505030968 is about 22472.8940726378. The cubic root of 505030968 is about 796.3537017190.

The spelling of 505030968 in words is "five hundred five million, thirty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 204 221 234 289 306 312 408 442 468 578 612 663 867 884 936 1156 1224 1326 1734 1768 1867 1989 2312 2601 2652 3468 3734 3757 3978 5202 5304 5601 6936 7468 7514 7956 10404 11202 11271 14936 15028 15912 16803 20808 22404 22542 24271 30056 31739 33606 33813 44808 45084 48542 63478 67212 67626 72813 90168 95217 97084 126956 134424 135252 145626 190434 194168 218439 253912 270504 285651 291252 380868 412607 436878 539563 571302 582504 761736 825214 873756 1079126 1142604 1237821 1618689 1650428 1747512 2158252 2285208 2475642 3237378 3300856 3713463 4316504 4856067 4951284 6474756 7014319 7426926 9712134 9902568 12949512 14028638 14853852 19424268 21042957 28057276 29707704 38848536 42085914 56114552 63128871 84171828 126257742 168343656 252515484 505030968