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5357296 = 247311543
BaseRepresentation
bin10100011011111011110000
3101002011211101
4110123323300
52332413141
6310454144
763351640
oct24337360
911064741
105357296
11302a01a
121964354
1311575c9
149d6520
1570c531
hex51bef0

5357296 has 40 divisors (see below), whose sum is σ = 12253184. Its totient is φ = 2220480.

The previous prime is 5357249. The next prime is 5357299. The reversal of 5357296 is 6927535.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5357299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2701 + ... + 4243.

Almost surely, 25357296 is an apocalyptic number.

5357296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5357296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6126592).

5357296 is an abundant number, since it is smaller than the sum of its proper divisors (6895888).

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

5357296 is a wasteful number, since it uses less digits than its factorization.

5357296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1583 counting only the distinct ones).

The product of its digits is 56700, while the sum is 37.

The square root of 5357296 is about 2314.5833318332. The cubic root of 5357296 is about 174.9773685019.

The spelling of 5357296 in words is "five million, three hundred fifty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1543 1736 3086 3472 6172 10801 12344 21602 24688 43204 47833 86408 95666 172816 191332 334831 382664 669662 765328 1339324 2678648 5357296