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489891072 = 28311103563
BaseRepresentation
bin11101001100110…
…010010100000000
31021010211001012210
4131030302110000
52000403003242
6120340022120
715066001566
oct3514622400
91233731183
10489891072
11231592460
12118091940
137a655a98
14490c3a36
152d01cd9c
hex1d332500

489891072 has 144 divisors (see below), whose sum is σ = 1438714368. Its totient is φ = 146749440.

The previous prime is 489891071. The next prime is 489891097. The reversal of 489891072 is 270198984.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (489891071) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 869863 + ... + 870425.

It is an arithmetic number, because the mean of its divisors is an integer number (9991072).

Almost surely, 2489891072 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 489891072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719357184).

489891072 is an abundant number, since it is smaller than the sum of its proper divisors (948823296).

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

489891072 is a wasteful number, since it uses less digits than its factorization.

489891072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The square root of 489891072 is about 22133.4830517025. The cubic root of 489891072 is about 788.3150929672.

The spelling of 489891072 in words is "four hundred eighty-nine million, eight hundred ninety-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 103 128 132 176 192 206 256 264 309 352 384 412 528 563 618 704 768 824 1056 1126 1133 1236 1408 1648 1689 2112 2252 2266 2472 2816 3296 3378 3399 4224 4504 4532 4944 6193 6592 6756 6798 8448 9008 9064 9888 12386 13184 13512 13596 18016 18128 18579 19776 24772 26368 27024 27192 36032 36256 37158 39552 49544 54048 54384 57989 72064 72512 74316 79104 99088 108096 108768 115978 144128 145024 148632 173967 198176 216192 217536 231956 290048 297264 347934 396352 432384 435072 463912 594528 637879 695868 792704 870144 927824 1189056 1275758 1391736 1585408 1855648 1913637 2378112 2551516 2783472 3711296 3827274 4756224 5103032 5566944 7422592 7654548 10206064 11133888 14845184 15309096 20412128 22267776 30618192 40824256 44535552 61236384 81648512 122472768 163297024 244945536 489891072