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4973984 = 25374201
BaseRepresentation
bin10010111110010110100000
3100100201000122
4102332112200
52233131414
6254335412
760164261
oct22762640
910321018
104973984
112898034
1217ba568
131051cb2
14936968
15683b8e
hex4be5a0

4973984 has 24 divisors (see below), whose sum is σ = 10059588. Its totient is φ = 2419200.

The previous prime is 4973959. The next prime is 4973989. The reversal of 4973984 is 4893794.

It can be written as a sum of positive squares in 2 ways, for example, as 4963984 + 10000 = 2228^2 + 100^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4973989) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 917 + ... + 3284.

Almost surely, 24973984 is an apocalyptic number.

It is an amenable number.

4973984 is an abundant number, since it is smaller than the sum of its proper divisors (5085604).

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

4973984 is a wasteful number, since it uses less digits than its factorization.

4973984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248 (or 4240 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 4973984 is about 2230.2430360837. The cubic root of 4973984 is about 170.7005005621.

It can be divided in two parts, 49 and 73984, that multiplied together give a square (3625216 = 19042).

The spelling of 4973984 in words is "four million, nine hundred seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 4201 8402 16804 33608 67216 134432 155437 310874 621748 1243496 2486992 4973984