Search a number
-
+
4745268 = 22321123521
BaseRepresentation
bin10010000110100000110100
322221002021200
4102012200310
52203322033
6245412500
755222413
oct22064064
98832250
104745268
112751210
12170a130
13ca1b68
148b747a
1563b013
hex486834

4745268 has 72 divisors (see below), whose sum is σ = 13680576. Its totient is φ = 1372800.

The previous prime is 4745267. The next prime is 4745281. The reversal of 4745268 is 8625474.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (53760) is a multiple of the sum of its prime divisors (560).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4745267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8848 + ... + 9368.

It is an arithmetic number, because the mean of its divisors is an integer number (190008).

Almost surely, 24745268 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 4745268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6840288).

4745268 is an abundant number, since it is smaller than the sum of its proper divisors (8935308).

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

4745268 is a wasteful number, since it uses less digits than its factorization.

4745268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 560 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 4745268 is about 2178.3636060125. The cubic root of 4745268 is about 168.0429312052.

The spelling of 4745268 in words is "four million, seven hundred forty-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 521 759 828 1012 1042 1518 1563 2084 2277 3036 3126 4554 4689 5731 6252 9108 9378 11462 11983 17193 18756 22924 23966 34386 35949 47932 51579 68772 71898 103158 107847 131813 143796 206316 215694 263626 395439 431388 527252 790878 1186317 1581756 2372634 4745268