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5309616 = 2431367127
BaseRepresentation
bin10100010000010010110000
3100222202102110
4110100102300
52324401431
6305445320
763062634
oct24202260
910882373
105309616
112aa7214
121940840
13113b9b0
149c2dc4
156ed346
hex5104b0

5309616 has 80 divisors (see below), whose sum is σ = 15110144. Its totient is φ = 1596672.

The previous prime is 5309599. The next prime is 5309659. The reversal of 5309616 is 6169035.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41745 + ... + 41871.

Almost surely, 25309616 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 5309616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7555072).

5309616 is an abundant number, since it is smaller than the sum of its proper divisors (9800528).

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

5309616 is a wasteful number, since it uses less digits than its factorization.

5309616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 5309616 is about 2304.2604019511. The cubic root of 5309616 is about 174.4567206017.

The spelling of 5309616 in words is "five million, three hundred nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 67 78 104 127 134 156 201 208 254 268 312 381 402 508 536 624 762 804 871 1016 1072 1524 1608 1651 1742 2032 2613 3048 3216 3302 3484 4953 5226 6096 6604 6968 8509 9906 10452 13208 13936 17018 19812 20904 25527 26416 34036 39624 41808 51054 68072 79248 102108 110617 136144 204216 221234 331851 408432 442468 663702 884936 1327404 1769872 2654808 5309616