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556796448 = 2532131271171
BaseRepresentation
bin100001001100000…
…000101000100000
31102210201012010200
4201030000220200
52120014441243
6131130025200
716540456155
oct4114005040
91383635120
10556796448
1126632a45a
12136578200
138b47cb70
1453d3c22c
1533d36ad3
hex21300a20

556796448 has 144 divisors (see below), whose sum is σ = 1720083456. Its totient is φ = 169827840.

The previous prime is 556796447. The next prime is 556796479. The reversal of 556796448 is 844697655.

556796448 is a `hidden beast` number, since 55 + 67 + 96 + 448 = 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 = 556796394 and 556796403.

It is not an unprimeable number, because it can be changed into a prime (556796447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474903 + ... + 476073.

It is an arithmetic number, because the mean of its divisors is an integer number (11945024).

Almost surely, 2556796448 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 556796448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860041728).

556796448 is an abundant number, since it is smaller than the sum of its proper divisors (1163287008).

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

556796448 is a wasteful number, since it uses less digits than its factorization.

556796448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1316 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 556796448 is about 23596.5346608353. The cubic root of 556796448 is about 822.6822970930.

The spelling of 556796448 in words is "five hundred fifty-six million, seven hundred ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 127 144 156 208 234 254 288 312 381 416 468 508 624 762 936 1016 1143 1171 1248 1524 1651 1872 2032 2286 2342 3048 3302 3513 3744 4064 4572 4684 4953 6096 6604 7026 9144 9368 9906 10539 12192 13208 14052 14859 15223 18288 18736 19812 21078 26416 28104 29718 30446 36576 37472 39624 42156 45669 52832 56208 59436 60892 79248 84312 91338 112416 118872 121784 137007 148717 158496 168624 182676 237744 243568 274014 297434 337248 365352 446151 475488 487136 548028 594868 730704 892302 1096056 1189736 1338453 1461408 1784604 1933321 2192112 2379472 2676906 3569208 3866642 4384224 4758944 5353812 5799963 7138416 7733284 10707624 11599926 14276832 15466568 17399889 21415248 23199852 30933136 34799778 42830496 46399704 61866272 69599556 92799408 139199112 185598816 278398224 556796448