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554946912 = 253213178719
BaseRepresentation
bin100001000100111…
…101000101100000
31102200020020001100
4201010331011200
52114031300122
6131022234400
716515654012
oct4104750540
91380206040
10554946912
11265286913
12135a25a00
138ac83070
14539ba1b2
1533abdaac
hex2113d160

554946912 has 144 divisors (see below), whose sum is σ = 1799703360. Its totient is φ = 160690176.

The previous prime is 554946911. The next prime is 554946923. The reversal of 554946912 is 219649455.

554946912 is a `hidden beast` number, since 554 + 9 + 4 + 6 + 91 + 2 = 666.

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

It is a super-4 number, since 4×5549469124 (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (554946911) 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 23 ways as a sum of consecutive naturals, for example, 59289 + ... + 68007.

It is an arithmetic number, because the mean of its divisors is an integer number (12497940).

Almost surely, 2554946912 is an apocalyptic number.

554946912 is a gapful number since it is divisible by the number (52) 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 554946912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899851680).

554946912 is an abundant number, since it is smaller than the sum of its proper divisors (1244756448).

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

554946912 is a wasteful number, since it uses less digits than its factorization.

554946912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8765 (or 8754 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 554946912 is about 23557.3112217842. The cubic root of 554946912 is about 821.7703729275.

The spelling of 554946912 in words is "five hundred fifty-four million, nine hundred forty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 68 72 78 96 102 104 117 136 144 153 156 204 208 221 234 272 288 306 312 408 416 442 468 544 612 624 663 816 884 936 1224 1248 1326 1632 1768 1872 1989 2448 2652 3536 3744 3978 4896 5304 7072 7956 8719 10608 15912 17438 21216 26157 31824 34876 52314 63648 69752 78471 104628 113347 139504 148223 156942 209256 226694 279008 296446 313884 340041 418512 444669 453388 592892 627768 680082 837024 889338 906776 1020123 1185784 1255536 1334007 1360164 1778676 1813552 1926899 2040246 2371568 2511072 2668014 2720328 3557352 3627104 3853798 4080492 4743136 5336028 5440656 5780697 7114704 7707596 8160984 10672056 10881312 11561394 14229408 15415192 16321968 17342091 21344112 23122788 30830384 32643936 34684182 42688224 46245576 61660768 69368364 92491152 138736728 184982304 277473456 554946912