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5259072 = 263721343
BaseRepresentation
bin10100000011111101000000
3100220012002110
4110003331000
52321242242
6304415320
762462400
oct24037500
910805073
105259072
112a72245
121917540
1311219a0
149ac800
156dd39c
hex503f40

5259072 has 168 divisors, whose sum is σ = 17836896. Its totient is φ = 1354752.

The previous prime is 5259071. The next prime is 5259073. The reversal of 5259072 is 2709525.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5259071) and next prime (5259073).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5259071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122283 + ... + 122325.

It is an arithmetic number, because the mean of its divisors is an integer number (106172).

Almost surely, 25259072 is an apocalyptic number.

5259072 is a gapful number since it is divisible by the number (52) 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 5259072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8918448).

5259072 is an abundant number, since it is smaller than the sum of its proper divisors (12577824).

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

5259072 is a wasteful number, since it uses less digits than its factorization.

5259072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 5259072 is about 2293.2666656976. The cubic root of 5259072 is about 173.9013842039.

The spelling of 5259072 in words is "five million, two hundred fifty-nine thousand, seventy-two".