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4868640 = 253357223
BaseRepresentation
bin10010100100101000100000
3100011100112000
4102210220200
52221244030
6252204000
756245200
oct22445040
910140460
104868640
112825977
121769600
13101606a
1490a400
15662860
hex4a4a20

4868640 has 288 divisors, whose sum is σ = 20684160. Its totient is φ = 1064448.

The previous prime is 4868623. The next prime is 4868651. The reversal of 4868640 is 468684.

4868640 is a `hidden beast` number, since 4 + 8 + 6 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 4868595 and 4868604.

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 47 ways as a sum of consecutive naturals, for example, 211669 + ... + 211691.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

Almost surely, 24868640 is an apocalyptic number.

4868640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4868640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342080).

4868640 is an abundant number, since it is smaller than the sum of its proper divisors (15815520).

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

4868640 is a wasteful number, since it uses less digits than its factorization.

4868640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4868640 is about 2206.4994901427. The cubic root of 4868640 is about 169.4868029509.

The spelling of 4868640 in words is "four million, eight hundred sixty-eight thousand, six hundred forty".