Search a number
-
+
4745744 = 241967233
BaseRepresentation
bin10010000110101000010000
322221002221022
4102012220100
52203330434
6245415012
755223663
oct22065020
98832838
104745744
112751603
12170a468
13ca2143
148b76da
1563b22e
hex486a10

4745744 has 40 divisors (see below), whose sum is σ = 9865440. Its totient is φ = 2204928.

The previous prime is 4745743. The next prime is 4745749. The reversal of 4745744 is 4475474.

It is a super-2 number, since 2×47457442 = 45044172227072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4745743) 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 7 ways as a sum of consecutive naturals, for example, 20252 + ... + 20484.

It is an arithmetic number, because the mean of its divisors is an integer number (246636).

Almost surely, 24745744 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 4745744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932720).

4745744 is an abundant number, since it is smaller than the sum of its proper divisors (5119696).

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

4745744 is a wasteful number, since it uses less digits than its factorization.

4745744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 321 counting only the distinct ones).

The product of its digits is 62720, while the sum is 35.

The square root of 4745744 is about 2178.4728595968. The cubic root of 4745744 is about 168.0485498384.

The spelling of 4745744 in words is "four million, seven hundred forty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 19 38 67 76 134 152 233 268 304 466 536 932 1072 1273 1864 2546 3728 4427 5092 8854 10184 15611 17708 20368 31222 35416 62444 70832 124888 249776 296609 593218 1186436 2372872 4745744