Search a number
-
+
5028448 = 253137137
BaseRepresentation
bin10011001011101001100000
3100110110201211
4103023221200
52241402243
6255435504
760512125
oct23135140
910413654
105028448
112924a47
121825b94
131070a19
1494c74c
15694d9d
hex4cba60

5028448 has 48 divisors (see below), whose sum is σ = 10571904. Its totient is φ = 2350080.

The previous prime is 5028437. The next prime is 5028449. The reversal of 5028448 is 8448205.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5028449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36636 + ... + 36772.

It is an arithmetic number, because the mean of its divisors is an integer number (220248).

Almost surely, 25028448 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 5028448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285952).

5028448 is an abundant number, since it is smaller than the sum of its proper divisors (5543456).

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

5028448 is a wasteful number, since it uses less digits than its factorization.

5028448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 5028448 is about 2242.4201212083. The cubic root of 5028448 is about 171.3212841919.

It can be divided in two parts, 5028 and 448, that added together give a square (5476 = 742).

The spelling of 5028448 in words is "five million, twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 37 62 74 124 137 148 248 274 296 496 548 592 992 1096 1147 1184 2192 2294 4247 4384 4588 5069 8494 9176 10138 16988 18352 20276 33976 36704 40552 67952 81104 135904 157139 162208 314278 628556 1257112 2514224 5028448