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4893984 = 253216993
BaseRepresentation
bin10010101010110100100000
3100012122021200
4102222310200
52223101414
6252521200
756412114
oct22526440
910178250
104893984
112842a17
121780200
131024764
14915744
1566a109
hex4aad20

4893984 has 36 divisors (see below), whose sum is σ = 13918086. Its totient is φ = 1631232.

The previous prime is 4893983. The next prime is 4894031.

It is a happy number.

4893984 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 4717584 + 176400 = 2172^2 + 420^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (4893983) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8209 + ... + 8784.

Almost surely, 24893984 is an apocalyptic number.

It is an amenable number.

4893984 is an abundant number, since it is smaller than the sum of its proper divisors (9024102).

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

4893984 is a wasteful number, since it uses less digits than its factorization.

4893984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17009 (or 16998 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 4893984 is about 2212.2350688840. The cubic root of 4893984 is about 169.7803853864.

The spelling of 4893984 in words is "four million, eight hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 16993 33986 50979 67972 101958 135944 152937 203916 271888 305874 407832 543776 611748 815664 1223496 1631328 2446992 4893984