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4894416 = 243241829
BaseRepresentation
bin10010101010111011010000
3100012122212200
4102222323100
52223110131
6252523200
756413302
oct22527320
910178780
104894416
11284327a
121780500
131024a07
14915972
1566a2e6
hex4aaed0

4894416 has 60 divisors (see below), whose sum is σ = 14048580. Its totient is φ = 1589760.

The previous prime is 4894403. The next prime is 4894441. The reversal of 4894416 is 6144984.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1299600 + 3594816 = 1140^2 + 1896^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5490 + ... + 6318.

It is an arithmetic number, because the mean of its divisors is an integer number (234143).

Almost surely, 24894416 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 4894416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7024290).

4894416 is an abundant number, since it is smaller than the sum of its proper divisors (9154164).

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

4894416 is a wasteful number, since it uses less digits than its factorization.

4894416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 875 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4894416 is about 2212.3327055396. The cubic root of 4894416 is about 169.7853808371.

The spelling of 4894416 in words is "four million, eight hundred ninety-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 829 984 1476 1658 1968 2487 2952 3316 4974 5904 6632 7461 9948 13264 14922 19896 29844 33989 39792 59688 67978 101967 119376 135956 203934 271912 305901 407868 543824 611802 815736 1223604 1631472 2447208 4894416