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5740832 = 251761173
BaseRepresentation
bin10101111001100100100000
3101210122221102
4111321210200
52432201312
6323013532
766540056
oct25714440
911718842
105740832
113271199
121b0a2a8
131260056
14a961d6
15785ec2
hex579920

5740832 has 48 divisors (see below), whose sum is σ = 12233592. Its totient is φ = 2641920.

The previous prime is 5740829. The next prime is 5740853. The reversal of 5740832 is 2380475.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5216656 + 524176 = 2284^2 + 724^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5740795 and 5740804.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33098 + ... + 33270.

Almost surely, 25740832 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 5740832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6116796).

5740832 is an abundant number, since it is smaller than the sum of its proper divisors (6492760).

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

5740832 is a wasteful number, since it uses less digits than its factorization.

5740832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 5740832 is about 2396.0033388958. The cubic root of 5740832 is about 179.0571272983.

The spelling of 5740832 in words is "five million, seven hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 61 68 122 136 173 244 272 346 488 544 692 976 1037 1384 1952 2074 2768 2941 4148 5536 5882 8296 10553 11764 16592 21106 23528 33184 42212 47056 84424 94112 168848 179401 337696 358802 717604 1435208 2870416 5740832