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4763682 = 2327211491
BaseRepresentation
bin10010001011000000100010
322222000112200
4102023000202
52204414212
6250034030
755330200
oct22130042
98860480
104763682
112764030
121718916
13caa361
148c0070
156416dc
hex48b022

4763682 has 72 divisors (see below), whose sum is σ = 13124592. Its totient is φ = 1234800.

The previous prime is 4763663. The next prime is 4763683. The reversal of 4763682 is 2863674.

It is a d-powerful number, because it can be written as 411 + 74 + 67 + 38 + 67 + 83 + 25 .

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (4763683) 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 35 ways as a sum of consecutive naturals, for example, 9457 + ... + 9947.

It is an arithmetic number, because the mean of its divisors is an integer number (182286).

Almost surely, 24763682 is an apocalyptic number.

4763682 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4763682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562296).

4763682 is an abundant number, since it is smaller than the sum of its proper divisors (8360910).

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

4763682 is a wasteful number, since it uses less digits than its factorization.

4763682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 514 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 4763682 is about 2182.5860807767. The cubic root of 4763682 is about 168.2600140347.

It can be divided in two parts, 4763 and 682, that added together give a palindrome (5445).

The spelling of 4763682 in words is "four million, seven hundred sixty-three thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 441 462 491 539 693 882 982 1078 1386 1473 1617 2946 3234 3437 4419 4851 5401 6874 8838 9702 10311 10802 16203 20622 24059 30933 32406 37807 48118 48609 61866 72177 75614 97218 113421 144354 216531 226842 264649 340263 433062 529298 680526 793947 1587894 2381841 4763682