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4890016 = 251789101
BaseRepresentation
bin10010101001110110100000
3100012102211201
4102221312200
52222440031
6252450544
756364415
oct22516640
910172751
104890016
11283aa3a
121779a54
131022a01
1491410c
15668d61
hex4a9da0

4890016 has 48 divisors (see below), whose sum is σ = 10410120. Its totient is φ = 2252800.

The previous prime is 4890013. The next prime is 4890019. The reversal of 4890016 is 6100984.

It is an interprime number because it is at equal distance from previous prime (4890013) and next prime (4890019).

It can be written as a sum of positive squares in 4 ways, for example, as 4822416 + 67600 = 2196^2 + 260^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4890013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48366 + ... + 48466.

Almost surely, 24890016 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 4890016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5205060).

4890016 is an abundant number, since it is smaller than the sum of its proper divisors (5520104).

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

4890016 is a wasteful number, since it uses less digits than its factorization.

4890016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 4890016 is about 2211.3380564717. The cubic root of 4890016 is about 169.7344874891.

The spelling of 4890016 in words is "four million, eight hundred ninety thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 68 89 101 136 178 202 272 356 404 544 712 808 1424 1513 1616 1717 2848 3026 3232 3434 6052 6868 8989 12104 13736 17978 24208 27472 35956 48416 54944 71912 143824 152813 287648 305626 611252 1222504 2445008 4890016