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4538700 = 223352412
BaseRepresentation
bin10001010100000101001100
322112120221000
4101110011030
52130214300
6241140300
753402235
oct21240514
98476830
104538700
11261aaa1
12162a690
13c2bb2a
1486208c
155e9c00
hex45414c

4538700 has 108 divisors (see below), whose sum is σ = 14955640. Its totient is φ = 1180800.

The previous prime is 4538687. The next prime is 4538707. The reversal of 4538700 is 78354.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is not an unprimeable number, because it can be changed into a prime (4538707) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 110680 + ... + 110720.

Almost surely, 24538700 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 4538700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7477820).

4538700 is an abundant number, since it is smaller than the sum of its proper divisors (10416940).

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

4538700 is a wasteful number, since it uses less digits than its factorization.

4538700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4538700 is about 2130.4224933097. The cubic root of 4538700 is about 165.5682884037.

Multiplying 4538700 by its sum of digits (27), we get a square (122544900 = 110702).

4538700 divided by its sum of digits (27) gives a square (168100 = 4102).

The spelling of 4538700 in words is "four million, five hundred thirty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 41 45 50 54 60 75 82 90 100 108 123 135 150 164 180 205 225 246 270 300 369 410 450 492 540 615 675 738 820 900 1025 1107 1230 1350 1476 1681 1845 2050 2214 2460 2700 3075 3362 3690 4100 4428 5043 5535 6150 6724 7380 8405 9225 10086 11070 12300 15129 16810 18450 20172 22140 25215 27675 30258 33620 36900 42025 45387 50430 55350 60516 75645 84050 90774 100860 110700 126075 151290 168100 181548 226935 252150 302580 378225 453870 504300 756450 907740 1134675 1512900 2269350 4538700