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485884224 = 2633740169
BaseRepresentation
bin11100111101100…
…000000101000000
31020212021110212000
4130331200011000
51443341243344
6120114104000
715016643040
oct3475400500
91225243760
10485884224
1122a2a6011
1211687b000
1379882077
144875d720
152c9caa69
hex1cf60140

485884224 has 112 divisors (see below), whose sum is σ = 1632508800. Its totient is φ = 138820608.

The previous prime is 485884187. The next prime is 485884247. The reversal of 485884224 is 422488584.

485884224 is a `hidden beast` number, since 4 + 8 + 588 + 42 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 485884224.

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 15 ways as a sum of consecutive naturals, for example, 7989 + ... + 32180.

Almost surely, 2485884224 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 485884224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816254400).

485884224 is an abundant number, since it is smaller than the sum of its proper divisors (1146624576).

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

485884224 is a wasteful number, since it uses less digits than its factorization.

485884224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40197 (or 40181 counting only the distinct ones).

The product of its digits is 655360, while the sum is 45.

The square root of 485884224 is about 22042.7816756416. The cubic root of 485884224 is about 786.1599814206.

The spelling of 485884224 in words is "four hundred eighty-five million, eight hundred eighty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 40169 80338 120507 160676 241014 281183 321352 361521 482028 562366 642704 723042 843549 964056 1084563 1124732 1285408 1446084 1687098 1928112 2169126 2249464 2530647 2570816 2892168 3374196 3856224 4338252 4498928 5061294 5784336 6748392 7591941 7712448 8676504 8997856 10122588 11568672 13496784 15183882 17353008 17995712 20245176 23137344 26993568 30367764 34706016 40490352 53987136 60735528 69412032 80980704 121471056 161961408 242942112 485884224