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489132864 = 26331125733
BaseRepresentation
bin11101001001111…
…001001101000000
31021002101112011000
4131021321031000
52000204222424
6120311452000
715056363223
oct3511711500
91232345130
10489132864
11231114840
12117987000
137a44b93c
1448d675ba
152ce1d3c9
hex1d279340

489132864 has 112 divisors (see below), whose sum is σ = 1568744640. Its totient is φ = 148216320.

The previous prime is 489132863. The next prime is 489132871. The reversal of 489132864 is 468231984.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (489132863) 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 15 ways as a sum of consecutive naturals, for example, 6142 + ... + 31874.

Almost surely, 2489132864 is an apocalyptic number.

489132864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 489132864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784372320).

489132864 is an abundant number, since it is smaller than the sum of its proper divisors (1079611776).

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

489132864 is a wasteful number, since it uses less digits than its factorization.

489132864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25765 (or 25749 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 489132864 is about 22116.3483423462. The cubic root of 489132864 is about 787.9081892914.

The spelling of 489132864 in words is "four hundred eighty-nine million, one hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 25733 51466 77199 102932 154398 205864 231597 283063 308796 411728 463194 566126 617592 694791 823456 849189 926388 1132252 1235184 1389582 1646912 1698378 1852776 2264504 2470368 2547567 2779164 3396756 3705552 4529008 4940736 5095134 5558328 6793512 7411104 7642701 9058016 10190268 11116656 13587024 14822208 15285402 18116032 20380536 22233312 27174048 30570804 40761072 44466624 54348096 61141608 81522144 122283216 163044288 244566432 489132864