Search a number
-
+
489956376 = 233713263853
BaseRepresentation
bin11101001101000…
…010010000011000
31021010221100210110
4131031002100120
52000412101001
6120341244320
715066363150
oct3515022030
91233840713
10489956376
11231627528
121181036a0
137a679720
14490dd760
152d0323d6
hex1d342418

489956376 has 128 divisors (see below), whose sum is σ = 1515064320. Its totient is φ = 128577024.

The previous prime is 489956339. The next prime is 489956399. The reversal of 489956376 is 673659984.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573966 + ... + 574818.

It is an arithmetic number, because the mean of its divisors is an integer number (11836440).

Almost surely, 2489956376 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 489956376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757532160).

489956376 is an abundant number, since it is smaller than the sum of its proper divisors (1025107944).

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

489956376 is a wasteful number, since it uses less digits than its factorization.

489956376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1141 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 57.

The square root of 489956376 is about 22134.9582335273. The cubic root of 489956376 is about 788.3501196936.

The spelling of 489956376 in words is "four hundred eighty-nine million, nine hundred fifty-six thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 263 273 312 364 526 546 728 789 853 1052 1092 1578 1706 1841 2104 2184 2559 3156 3412 3419 3682 5118 5523 5971 6312 6824 6838 7364 10236 10257 11046 11089 11942 13676 14728 17913 20472 20514 22092 22178 23884 23933 27352 33267 35826 41028 44184 44356 47768 47866 66534 71652 71799 77623 82056 88712 95732 133068 143304 143598 155246 191464 224339 232869 266136 287196 310492 448678 465738 574392 620984 673017 897356 931476 1346034 1570373 1794712 1862952 2692068 2916407 3140746 4711119 5384136 5832814 6281492 8749221 9422238 11665628 12562984 17498442 18844476 20414849 23331256 34996884 37688952 40829698 61244547 69993768 81659396 122489094 163318792 244978188 489956376