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563749648 = 247112172447
BaseRepresentation
bin100001100110100…
…010001100010000
31110021210110010121
4201212202030100
52123304442043
6131535040024
716653535660
oct4146421420
91407713117
10563749648
1126a249500
12138970014
138ca45997
1454c2c1a0
153475bded
hex219a2310

563749648 has 120 divisors (see below), whose sum is σ = 1453406976. Its totient is φ = 206638080.

The previous prime is 563749639. The next prime is 563749717. The reversal of 563749648 is 846947365.

It is a junction number, because it is equal to n+sod(n) for n = 563749595 and 563749604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229161 + ... + 231607.

Almost surely, 2563749648 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 563749648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726703488).

563749648 is an abundant number, since it is smaller than the sum of its proper divisors (889657328).

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

563749648 is a wasteful number, since it uses less digits than its factorization.

563749648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2484 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 52.

The square root of 563749648 is about 23743.4127285864. The cubic root of 563749648 is about 826.0926559170.

The spelling of 563749648 in words is "five hundred sixty-three million, seven hundred forty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 112 119 121 136 154 176 187 238 242 272 308 374 476 484 616 748 847 952 968 1232 1309 1496 1694 1904 1936 2057 2447 2618 2992 3388 4114 4894 5236 6776 8228 9788 10472 13552 14399 16456 17129 19576 20944 26917 28798 32912 34258 39152 41599 53834 57596 68516 83198 107668 115192 137032 166396 188419 215336 230384 274064 291193 296087 332792 376838 430672 457589 582386 592174 665584 753676 915178 1164772 1184348 1507352 1830356 2072609 2329544 2368696 3014704 3203123 3660712 4145218 4659088 4737392 5033479 6406246 7321424 8290436 10066958 12812492 16580872 20133916 25624984 33161744 35234353 40267832 51249968 70468706 80535664 140937412 281874824 563749648