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5309056 = 27193759
BaseRepresentation
bin10100010000001010000000
3100222201122201
4110100022000
52324342211
6305442544
763061204
oct24201200
910881581
105309056
112aa6855
121940454
13113b66c
149c2b04
156ed0c1
hex510280

5309056 has 64 divisors (see below), whose sum is σ = 11628000. Its totient is φ = 2405376.

The previous prime is 5309053. The next prime is 5309069. The reversal of 5309056 is 6509035.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×53090562 = 56372151222272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5309053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89955 + ... + 90013.

Almost surely, 25309056 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 5309056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5814000).

5309056 is an abundant number, since it is smaller than the sum of its proper divisors (6318944).

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

5309056 is a wasteful number, since it uses less digits than its factorization.

5309056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 5309056 is about 2304.1388847029. The cubic root of 5309056 is about 174.4505871263.

The spelling of 5309056 in words is "five million, three hundred nine thousand, fifty-six".

Divisors: 1 2 4 8 16 19 32 37 38 59 64 74 76 118 128 148 152 236 296 304 472 592 608 703 944 1121 1184 1216 1406 1888 2183 2242 2368 2432 2812 3776 4366 4484 4736 5624 7552 8732 8968 11248 17464 17936 22496 34928 35872 41477 44992 69856 71744 82954 89984 139712 143488 165908 279424 331816 663632 1327264 2654528 5309056