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4913568 = 253311247
BaseRepresentation
bin10010101111100110100000
3100020122011000
4102233212200
52224213233
6253152000
756523162
oct22574640
910218130
104913568
112856700
12178b600
13103064a
1491c932
15670d13
hex4af9a0

4913568 has 144 divisors (see below), whose sum is σ = 16087680. Its totient is φ = 1457280.

The previous prime is 4913543. The next prime is 4913569. The reversal of 4913568 is 8653194.

4913568 is a `hidden beast` number, since 4 + 91 + 3 + 568 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 42 + 97 + 1 + 39 + 57 + 6 + 85 .

It is not an unprimeable number, because it can be changed into a prime (4913569) 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, 104521 + ... + 104567.

It is an arithmetic number, because the mean of its divisors is an integer number (111720).

Almost surely, 24913568 is an apocalyptic number.

4913568 is a gapful number since it is divisible by the number (48) 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 4913568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043840).

4913568 is an abundant number, since it is smaller than the sum of its proper divisors (11174112).

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

4913568 is a wasteful number, since it uses less digits than its factorization.

4913568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 63 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 4913568 is about 2216.6569423346. The cubic root of 4913568 is about 170.0065510740.

The spelling of 4913568 in words is "four million, nine hundred thirteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 47 48 54 66 72 88 94 96 99 108 121 132 141 144 176 188 198 216 242 264 282 288 297 352 363 376 396 423 432 484 517 528 564 594 726 752 792 846 864 968 1034 1056 1089 1128 1188 1269 1452 1504 1551 1584 1692 1936 2068 2178 2256 2376 2538 2904 3102 3168 3267 3384 3872 4136 4356 4512 4653 4752 5076 5687 5808 6204 6534 6768 8272 8712 9306 9504 10152 11374 11616 12408 13068 13536 13959 16544 17061 17424 18612 20304 22748 24816 26136 27918 34122 34848 37224 40608 45496 49632 51183 52272 55836 68244 74448 90992 102366 104544 111672 136488 148896 153549 181984 204732 223344 272976 307098 409464 446688 545952 614196 818928 1228392 1637856 2456784 4913568