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4421984 = 257191039
BaseRepresentation
bin10000110111100101100000
322022122211012
4100313211200
52113000414
6234440052
752405040
oct20674540
98278735
104421984
112550336
121593028
13bba978
14831720
155c533e
hex437960

4421984 has 48 divisors (see below), whose sum is σ = 10483200. Its totient is φ = 1793664.

The previous prime is 4421971. The next prime is 4421987. The reversal of 4421984 is 4891244.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4421984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4421987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3737 + ... + 4775.

It is an arithmetic number, because the mean of its divisors is an integer number (218400).

Almost surely, 24421984 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 4421984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241600).

4421984 is an abundant number, since it is smaller than the sum of its proper divisors (6061216).

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

4421984 is a wasteful number, since it uses less digits than its factorization.

4421984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1067 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 4421984 is about 2102.8513975077. The cubic root of 4421984 is about 164.1367093278.

The spelling of 4421984 in words is "four million, four hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1039 1064 2078 2128 4156 4256 7273 8312 14546 16624 19741 29092 33248 39482 58184 78964 116368 138187 157928 232736 276374 315856 552748 631712 1105496 2210992 4421984