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549398304 = 253271320963
BaseRepresentation
bin100000101111110…
…010011100100000
31102021210022210100
4200233302130200
52111121221204
6130303302400
716420544220
oct4057623440
91367708710
10549398304
11262137094
12133baaa00
1389a8c670
1452d74080
1533374a39
hex20bf2720

549398304 has 144 divisors (see below), whose sum is σ = 1922985792. Its totient is φ = 144889344.

The previous prime is 549398303. The next prime is 549398329. The reversal of 549398304 is 403893945.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 549398304.

It is not an unprimeable number, because it can be changed into a prime (549398303) 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 23 ways as a sum of consecutive naturals, for example, 15727 + ... + 36689.

It is an arithmetic number, because the mean of its divisors is an integer number (13354068).

Almost surely, 2549398304 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 549398304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961492896).

549398304 is an abundant number, since it is smaller than the sum of its proper divisors (1373587488).

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

549398304 is a wasteful number, since it uses less digits than its factorization.

549398304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20999 (or 20988 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 549398304 is about 23439.2470868840. The cubic root of 549398304 is about 819.0223844106.

The spelling of 549398304 in words is "five hundred forty-nine million, three hundred ninety-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 20963 26208 41926 62889 83852 125778 146741 167704 188667 251556 272519 293482 335408 377334 440223 503112 545038 586964 670816 754668 817557 880446 1006224 1090076 1173928 1320669 1509336 1635114 1760892 1907633 2012448 2180152 2347856 2452671 2641338 3018672 3270228 3521784 3815266 4360304 4695712 4905342 5282676 5722899 6037344 6540456 7043568 7630532 8720608 9810684 10565352 11445798 13080912 14087136 15261064 17168697 19621368 21130704 22891596 26161824 30522128 34337394 39242736 42261408 45783192 61044256 68674788 78485472 91566384 137349576 183132768 274699152 549398304