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5357248 = 261347137
BaseRepresentation
bin10100011011111011000000
3101002011202121
4110123323000
52332412443
6310454024
763351541
oct24337300
911064677
105357248
113029a86
121964314
131157590
149d64c8
1570c4ed
hex51bec0

5357248 has 56 divisors (see below), whose sum is σ = 11777472. Its totient is φ = 2402304.

The previous prime is 5357239. The next prime is 5357249. The reversal of 5357248 is 8427535.

It is a happy number.

It is a super-2 number, since 2×53572482 = 57400212267008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5357249) 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, 39036 + ... + 39172.

It is an arithmetic number, because the mean of its divisors is an integer number (210312).

Almost surely, 25357248 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 5357248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5888736).

5357248 is an abundant number, since it is smaller than the sum of its proper divisors (6420224).

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

5357248 is a wasteful number, since it uses less digits than its factorization.

5357248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 199 counting only the distinct ones).

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

The square root of 5357248 is about 2314.5729627730. The cubic root of 5357248 is about 174.9768459162.

The spelling of 5357248 in words is "five million, three hundred fifty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 137 188 208 274 376 416 548 611 752 832 1096 1222 1504 1781 2192 2444 3008 3562 4384 4888 6439 7124 8768 9776 12878 14248 19552 25756 28496 39104 51512 56992 83707 103024 113984 167414 206048 334828 412096 669656 1339312 2678624 5357248