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5741216 = 251337373
BaseRepresentation
bin10101111001101010100000
3101210200110122
4111321222200
52432204331
6323015412
766541145
oct25715240
911720418
105741216
113271508
121b0a568
131260290
14a963cc
1578617b
hex579aa0

5741216 has 48 divisors (see below), whose sum is σ = 12534984. Its totient is φ = 2571264.

The previous prime is 5741213. The next prime is 5741227. The reversal of 5741216 is 6121475.

It can be written as a sum of positive squares in 4 ways, for example, as 5107600 + 633616 = 2260^2 + 796^2 .

It is a super-2 number, since 2×57412162 = 65923122317312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (5741213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15206 + ... + 15578.

Almost surely, 25741216 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 5741216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267492).

5741216 is an abundant number, since it is smaller than the sum of its proper divisors (6793768).

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

5741216 is a wasteful number, since it uses less digits than its factorization.

5741216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its digits is 1680, while the sum is 26.

The square root of 5741216 is about 2396.0834710001. The cubic root of 5741216 is about 179.0611195422.

The spelling of 5741216 in words is "five million, seven hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 373 416 481 592 746 962 1184 1492 1924 2984 3848 4849 5968 7696 9698 11936 13801 15392 19396 27602 38792 55204 77584 110408 155168 179413 220816 358826 441632 717652 1435304 2870608 5741216