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4717984 = 25612417
BaseRepresentation
bin10001111111110110100000
322212200212011
4101333312200
52201433414
6245042304
755050025
oct21776640
98780764
104717984
112732767
1216b6394
13c9260b
148ab54c
15632dc4
hex47fda0

4717984 has 24 divisors (see below), whose sum is σ = 9444708. Its totient is φ = 2319360.

The previous prime is 4717963. The next prime is 4717997. The reversal of 4717984 is 4897174.

It can be written as a sum of positive squares in 2 ways, for example, as 4717584 + 400 = 2172^2 + 20^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 744 + ... + 3160.

Almost surely, 24717984 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 4717984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4722354).

4717984 is an abundant number, since it is smaller than the sum of its proper divisors (4726724).

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

4717984 is a wasteful number, since it uses less digits than its factorization.

4717984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2480 counting only the distinct ones).

The product of its digits is 56448, while the sum is 40.

The square root of 4717984 is about 2172.0920790795. The cubic root of 4717984 is about 167.7202449144.

The spelling of 4717984 in words is "four million, seven hundred seventeen thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1952 2417 4834 9668 19336 38672 77344 147437 294874 589748 1179496 2358992 4717984