Search a number
-
+
4245904 = 2413137149
BaseRepresentation
bin10000001100100110010000
321222201021201
4100030212100
52041332104
6231000544
751042505
oct20144620
97881251
104245904
112440013
121509154
13b58790
147c74ac
1558d0a4
hex40c990

4245904 has 40 divisors (see below), whose sum is σ = 8983800. Its totient is φ = 1932288.

The previous prime is 4245881. The next prime is 4245907. The reversal of 4245904 is 4095424.

4245904 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 4243600 = 48^2 + 2060^2 .

It is not an unprimeable number, because it can be changed into a prime (4245907) 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, 28422 + ... + 28570.

It is an arithmetic number, because the mean of its divisors is an integer number (224595).

Almost surely, 24245904 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 4245904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4491900).

4245904 is an abundant number, since it is smaller than the sum of its proper divisors (4737896).

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

4245904 is a wasteful number, since it uses less digits than its factorization.

4245904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 4245904 is about 2060.5591474161. The cubic root of 4245904 is about 161.9285362792.

It can be divided in two parts, 424 and 5904, that added together give a triangular number (6328 = T112).

The spelling of 4245904 in words is "four million, two hundred forty-five thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 137 149 208 274 298 548 596 1096 1192 1781 1937 2192 2384 3562 3874 7124 7748 14248 15496 20413 28496 30992 40826 81652 163304 265369 326608 530738 1061476 2122952 4245904