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4753056 = 253711643
BaseRepresentation
bin10010001000011010100000
322221110222010
4102020122200
52204044211
6245512520
755254210
oct22103240
98843863
104753056
112757050
121712740
13ca5579
148ba240
1563d4a6
hex4886a0

4753056 has 96 divisors (see below), whose sum is σ = 15579648. Its totient is φ = 1232640.

The previous prime is 4753051. The next prime is 4753061. The reversal of 4753056 is 6503574.

It is an interprime number because it is at equal distance from previous prime (4753051) and next prime (4753061).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×47530563 (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4753051) 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 15 ways as a sum of consecutive naturals, for example, 7071 + ... + 7713.

It is an arithmetic number, because the mean of its divisors is an integer number (162288).

Almost surely, 24753056 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 4753056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7789824).

4753056 is an abundant number, since it is smaller than the sum of its proper divisors (10826592).

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

4753056 is a wasteful number, since it uses less digits than its factorization.

4753056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 4753056 is about 2180.1504535238. The cubic root of 4753056 is about 168.1348124251.

It can be divided in two parts, 47530 and 56, that added together give a triangular number (47586 = T308).

The spelling of 4753056 in words is "four million, seven hundred fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 643 672 924 1056 1232 1286 1848 1929 2464 2572 3696 3858 4501 5144 7073 7392 7716 9002 10288 13503 14146 15432 18004 20576 21219 27006 28292 30864 36008 42438 49511 54012 56584 61728 72016 84876 99022 108024 113168 144032 148533 169752 198044 216048 226336 297066 339504 396088 432096 594132 679008 792176 1188264 1584352 2376528 4753056