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556494048 = 2532111710333
BaseRepresentation
bin100001001010110…
…110110011100000
31102210010211022200
4201022312303200
52114430302143
6131115333200
716535056425
oct4112666340
91383124280
10556494048
11266143240
12136451200
138b3a5326
1453c9dd4c
1533cc71d3
hex212b6ce0

556494048 has 144 divisors (see below), whose sum is σ = 1828125936. Its totient is φ = 158699520.

The previous prime is 556493981. The next prime is 556494049. The reversal of 556494048 is 840494655.

556494048 is a `hidden beast` number, since 5 + 564 + 9 + 40 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 556493994 and 556494012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556494049) 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, 48690 + ... + 59022.

It is an arithmetic number, because the mean of its divisors is an integer number (12695319).

Almost surely, 2556494048 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 556494048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914062968).

556494048 is an abundant number, since it is smaller than the sum of its proper divisors (1271631888).

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

556494048 is a wasteful number, since it uses less digits than its factorization.

556494048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10377 (or 10366 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 556494048 is about 23590.1260700319. The cubic root of 556494048 is about 822.5333353082.

The spelling of 556494048 in words is "five hundred fifty-six million, four hundred ninety-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 66 68 72 88 96 99 102 132 136 144 153 176 187 198 204 264 272 288 306 352 374 396 408 528 544 561 612 748 792 816 1056 1122 1224 1496 1584 1632 1683 2244 2448 2992 3168 3366 4488 4896 5984 6732 8976 10333 13464 17952 20666 26928 30999 41332 53856 61998 82664 92997 113663 123996 165328 175661 185994 227326 247992 330656 340989 351322 371988 454652 495984 526983 681978 702644 743976 909304 991968 1022967 1053966 1363956 1405288 1487952 1580949 1818608 1932271 2045934 2107932 2727912 2810576 2975904 3161898 3637216 3864542 4091868 4215864 5455824 5621152 5796813 6323796 7729084 8183736 8431728 10911648 11593626 12647592 15458168 16367472 16863456 17390439 23187252 25295184 30916336 32734944 34780878 46374504 50590368 61832672 69561756 92749008 139123512 185498016 278247024 556494048