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489432384 = 26327217341
BaseRepresentation
bin11101001011000…
…010010101000000
31021002221202000100
4131023002111000
52000243314014
6120322122400
715062051400
oct3513022500
91232852010
10489432384
112312a9881
12117ab0400
137a52507c
1449004800
152ce7c009
hex1d2c2540

489432384 has 126 divisors (see below), whose sum is σ = 1632003594. Its totient is φ = 139829760.

The previous prime is 489432353. The next prime is 489432401. The reversal of 489432384 is 483234984.

It can be written as a sum of positive squares in only one way, i.e., 476985600 + 12446784 = 21840^2 + 3528^2 .

It is a tau number, because it is divible by the number of its divisors (126).

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

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 17 ways as a sum of consecutive naturals, for example, 19554 + ... + 36894.

Almost surely, 2489432384 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 489432384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816001797).

489432384 is an abundant number, since it is smaller than the sum of its proper divisors (1142571210).

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

489432384 is a wasteful number, since it uses less digits than its factorization.

489432384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17373 (or 17353 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 489432384 is about 22123.1187674794. The cubic root of 489432384 is about 788.0689813954.

The spelling of 489432384 in words is "four hundred eighty-nine million, four hundred thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 17341 28224 34682 52023 69364 104046 121387 138728 156069 208092 242774 277456 312138 364161 416184 485548 554912 624276 728322 832368 849709 971096 1092483 1109824 1248552 1456644 1664736 1699418 1942192 2184966 2497104 2549127 2913288 3329472 3398836 3884384 4369932 4994208 5098254 5826576 6797672 7647381 7768768 8739864 9988416 10196508 11653152 13595344 15294762 17479728 20393016 23306304 27190688 30589524 34959456 40786032 54381376 61179048 69918912 81572064 122358096 163144128 244716192 489432384