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5735248 = 24312373
BaseRepresentation
bin10101111000001101010000
3101210101021121
4111320031100
52432011443
6322532024
766514561
oct25701520
911711247
105735248
113267a82
121b07014
13125a64c
14a94168
157844ed
hex578350

5735248 has 30 divisors (see below), whose sum is σ = 11512842. Its totient is φ = 2767680.

The previous prime is 5735221. The next prime is 5735251. The reversal of 5735248 is 8425375.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4981824 + 753424 = 2232^2 + 868^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15190 + ... + 15562.

Almost surely, 25735248 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 5735248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5756421).

5735248 is an abundant number, since it is smaller than the sum of its proper divisors (5777594).

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

5735248 is a wasteful number, since it uses less digits than its factorization.

5735248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 406 counting only the distinct ones).

The product of its digits is 33600, while the sum is 34.

The square root of 5735248 is about 2394.8377815627. The cubic root of 5735248 is about 178.9990532913. Note that the first 3 decimals are identical.

The spelling of 5735248 in words is "five million, seven hundred thirty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 31 62 124 248 373 496 746 961 1492 1922 2984 3844 5968 7688 11563 15376 23126 46252 92504 185008 358453 716906 1433812 2867624 5735248