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489140496 = 243213416373
BaseRepresentation
bin11101001001111…
…011000100010000
31021002101220121200
4131021323010100
52000204443441
6120311551200
715056424405
oct3511730420
91232356550
10489140496
1123111a549
1211798b500
137a452260
1448d6a2ac
152ce207b6
hex1d27b110

489140496 has 120 divisors (see below), whose sum is σ = 1510408536. Its totient is φ = 146810880.

The previous prime is 489140479. The next prime is 489140521. The reversal of 489140496 is 694041984.

489140496 = 34342 + 34352 + ... + 34742.

It can be written as a sum of positive squares in 4 ways, for example, as 4260096 + 484880400 = 2064^2 + 22020^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 73566 + ... + 79938.

Almost surely, 2489140496 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 489140496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755204268).

489140496 is an abundant number, since it is smaller than the sum of its proper divisors (1021268040).

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

489140496 is a wasteful number, since it uses less digits than its factorization.

489140496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6441 (or 6432 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 489140496 is about 22116.5208837195. The cubic root of 489140496 is about 787.9122872128.

The spelling of 489140496 in words is "four hundred eighty-nine million, one hundred forty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 41 48 52 72 78 82 104 117 123 144 156 164 208 234 246 312 328 369 468 492 533 624 656 738 936 984 1066 1476 1599 1872 1968 2132 2952 3198 4264 4797 5904 6373 6396 8528 9594 12746 12792 19119 19188 25492 25584 38238 38376 50984 57357 76476 76752 82849 101968 114714 152952 165698 229428 248547 261293 305904 331396 458856 497094 522586 662792 745641 783879 917712 994188 1045172 1325584 1491282 1567758 1988376 2090344 2351637 2982564 3135516 3396809 3976752 4180688 4703274 5965128 6271032 6793618 9406548 10190427 11930256 12542064 13587236 18813096 20380854 27174472 30571281 37626192 40761708 54348944 61142562 81523416 122285124 163046832 244570248 489140496