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4282380 = 2232537643
BaseRepresentation
bin10000010101100000001100
322001120022200
4100111200030
52044014010
6231441500
751254034
oct20254014
98046280
104282380
112465463
121526290
13b6c26b
147d68c4
15598cc0
hex41580c

4282380 has 72 divisors (see below), whose sum is σ = 13361712. Its totient is φ = 1109376.

The previous prime is 4282379. The next prime is 4282403. The reversal of 4282380 is 832824.

4282380 is a `hidden beast` number, since 4 + 282 + 380 = 666.

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, 6339 + ... + 6981.

Almost surely, 24282380 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 4282380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6680856).

4282380 is an abundant number, since it is smaller than the sum of its proper divisors (9079332).

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

4282380 is a wasteful number, since it uses less digits than its factorization.

4282380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4282380 is about 2069.3912148262. The cubic root of 4282380 is about 162.3909169291.

The spelling of 4282380 in words is "four million, two hundred eighty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 643 666 740 1110 1286 1332 1665 1929 2220 2572 3215 3330 3858 5787 6430 6660 7716 9645 11574 12860 19290 23148 23791 28935 38580 47582 57870 71373 95164 115740 118955 142746 214119 237910 285492 356865 428238 475820 713730 856476 1070595 1427460 2141190 4282380