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4930016 = 257131693
BaseRepresentation
bin10010110011100111100000
3100021110201012
4102303213200
52230230031
6253400052
756622140
oct22634740
910243635
104930016
112867aa3
121799028
131037c90
14924920
15675b2b
hex4b39e0

4930016 has 48 divisors (see below), whose sum is σ = 11952864. Its totient is φ = 1949184.

The previous prime is 4930001. The next prime is 4930019. The reversal of 4930016 is 6100394.

It is a junction number, because it is equal to n+sod(n) for n = 4929973 and 4930000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4930019) 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, 2066 + ... + 3758.

It is an arithmetic number, because the mean of its divisors is an integer number (249018).

Almost surely, 24930016 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 4930016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5976432).

4930016 is an abundant number, since it is smaller than the sum of its proper divisors (7022848).

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

4930016 is a wasteful number, since it uses less digits than its factorization.

4930016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 4930016 is about 2220.3639341333. The cubic root of 4930016 is about 170.1960368275.

The spelling of 4930016 in words is "four million, nine hundred thirty thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 1693 2912 3386 6772 11851 13544 22009 23702 27088 44018 47404 54176 88036 94808 154063 176072 189616 308126 352144 379232 616252 704288 1232504 2465008 4930016