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5725152 = 2532103193
BaseRepresentation
bin10101110101101111100000
3101202212102200
4111311233200
52431201102
6322413200
766443256
oct25655740
911685380
105725152
113260434
121b01200
131255b84
14a905d6
1578151c
hex575be0

5725152 has 72 divisors (see below), whose sum is σ = 16524144. Its totient is φ = 1880064.

The previous prime is 5725133. The next prime is 5725157. The reversal of 5725152 is 2515275.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5725157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29568 + ... + 29760.

It is an arithmetic number, because the mean of its divisors is an integer number (229502).

Almost surely, 25725152 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 5725152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8262072).

5725152 is an abundant number, since it is smaller than the sum of its proper divisors (10798992).

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

5725152 is a wasteful number, since it uses less digits than its factorization.

5725152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 301 counting only the distinct ones).

The product of its digits is 3500, while the sum is 27.

The square root of 5725152 is about 2392.7289859071. The cubic root of 5725152 is about 178.8939583942.

The spelling of 5725152 in words is "five million, seven hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 103 144 193 206 288 309 386 412 579 618 772 824 927 1158 1236 1544 1648 1737 1854 2316 2472 3088 3296 3474 3708 4632 4944 6176 6948 7416 9264 9888 13896 14832 18528 19879 27792 29664 39758 55584 59637 79516 119274 159032 178911 238548 318064 357822 477096 636128 715644 954192 1431288 1908384 2862576 5725152