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4852512 = 253272983
BaseRepresentation
bin10010100000101100100000
3100010112101200
4102200230200
52220240022
6252001200
756150160
oct22405440
910115350
104852512
112814845
121760200
13100b912
149045a0
1565cbac
hex4a0b20

4852512 has 144 divisors (see below), whose sum is σ = 16511040. Its totient is φ = 1322496.

The previous prime is 4852493. The next prime is 4852537. The reversal of 4852512 is 2152584.

It is a happy number.

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

It is an unprimeable number.

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, 58423 + ... + 58505.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

Almost surely, 24852512 is an apocalyptic number.

4852512 is a gapful number since it is divisible by the number (42) 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 4852512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255520).

4852512 is an abundant number, since it is smaller than the sum of its proper divisors (11658528).

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

4852512 is a wasteful number, since it uses less digits than its factorization.

4852512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 4852512 is about 2202.8418009471. The cubic root of 4852512 is about 169.2994469292.

The spelling of 4852512 in words is "four million, eight hundred fifty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 83 84 87 96 112 116 126 144 166 168 174 203 224 232 249 252 261 288 332 336 348 406 464 498 504 522 581 609 664 672 696 747 812 928 996 1008 1044 1162 1218 1328 1392 1494 1624 1743 1827 1992 2016 2088 2324 2407 2436 2656 2784 2988 3248 3486 3654 3984 4176 4648 4814 4872 5229 5976 6496 6972 7221 7308 7968 8352 9296 9628 9744 10458 11952 13944 14442 14616 16849 18592 19256 19488 20916 21663 23904 27888 28884 29232 33698 38512 41832 43326 50547 55776 57768 58464 67396 77024 83664 86652 101094 115536 134792 151641 167328 173304 202188 231072 269584 303282 346608 404376 539168 606564 693216 808752 1213128 1617504 2426256 4852512