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5748288 = 263721347
BaseRepresentation
bin10101111011011001000000
3101211001011120
4111323121000
52432421123
6323112240
766600600
oct25733100
911731146
105748288
113276857
121b12680
131263570
14a98c00
157882e3
hex57b640

5748288 has 168 divisors, whose sum is σ = 19458432. Its totient is φ = 1483776.

The previous prime is 5748287. The next prime is 5748313. The reversal of 5748288 is 8828475.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5748287) 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 23 ways as a sum of consecutive naturals, for example, 122281 + ... + 122327.

It is an arithmetic number, because the mean of its divisors is an integer number (115824).

Almost surely, 25748288 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 5748288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9729216).

5748288 is an abundant number, since it is smaller than the sum of its proper divisors (13710144).

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

5748288 is a wasteful number, since it uses less digits than its factorization.

5748288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 72 counting only the distinct ones).

The product of its digits is 143360, while the sum is 42.

The square root of 5748288 is about 2397.5587584041. The cubic root of 5748288 is about 179.1346115599.

The spelling of 5748288 in words is "five million, seven hundred forty-eight thousand, two hundred eighty-eight".