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4505382 = 234729137
BaseRepresentation
bin10001001011111100100110
322110220020000
4101023330212
52123133012
6240322130
753203140
oct21137446
98426200
104505382
1125a7a62
121613346
13c1990b
14853c90
155deddc
hex44bf26

4505382 has 80 divisors (see below), whose sum is σ = 12022560. Its totient is φ = 1233792.

The previous prime is 4505381. The next prime is 4505393. The reversal of 4505382 is 2835054.

4505382 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4505381) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32818 + ... + 32954.

It is an arithmetic number, because the mean of its divisors is an integer number (150282).

Almost surely, 24505382 is an apocalyptic number.

4505382 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 4505382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011280).

4505382 is an abundant number, since it is smaller than the sum of its proper divisors (7517178).

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

4505382 is a wasteful number, since it uses less digits than its factorization.

4505382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4505382 is about 2122.5885140554. The cubic root of 4505382 is about 165.1621546390.

It can be divided in two parts, 450 and 5382, that added together give a cube (5832 = 183).

The spelling of 4505382 in words is "four million, five hundred five thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 81 87 126 137 162 174 189 203 261 274 378 406 411 522 567 609 783 822 959 1134 1218 1233 1566 1827 1918 2349 2466 2877 3654 3699 3973 4698 5481 5754 7398 7946 8631 10962 11097 11919 16443 17262 22194 23838 25893 27811 32886 35757 51786 55622 71514 77679 83433 107271 155358 166866 214542 250299 321813 500598 643626 750897 1501794 2252691 4505382