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4930416 = 2433101113
BaseRepresentation
bin10010110011101101110000
3100021111021000
4102303231300
52230233131
6253402000
756623251
oct22635560
910244230
104930416
112868327
121799300
13103820a
14924b28
15675ce6
hex4b3b70

4930416 has 80 divisors (see below), whose sum is σ = 14418720. Its totient is φ = 1612800.

The previous prime is 4930403. The next prime is 4930417. The reversal of 4930416 is 6140394.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4930416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4930417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43576 + ... + 43688.

It is an arithmetic number, because the mean of its divisors is an integer number (180234).

Almost surely, 24930416 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 4930416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7209360).

4930416 is an abundant number, since it is smaller than the sum of its proper divisors (9488304).

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

4930416 is a wasteful number, since it uses less digits than its factorization.

4930416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4930416 is about 2220.4540076300. The cubic root of 4930416 is about 170.2006396911.

The spelling of 4930416 in words is "four million, nine hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 101 108 113 144 202 216 226 303 339 404 432 452 606 678 808 904 909 1017 1212 1356 1616 1808 1818 2034 2424 2712 2727 3051 3636 4068 4848 5424 5454 6102 7272 8136 10908 11413 12204 14544 16272 21816 22826 24408 34239 43632 45652 48816 68478 91304 102717 136956 182608 205434 273912 308151 410868 547824 616302 821736 1232604 1643472 2465208 4930416