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4391424 = 2932953
BaseRepresentation
bin10000110000001000000000
322021002220100
4100300020000
52111011144
6234042400
752216662
oct20601000
98232810
104391424
11252a384
121579400
13ba9a9b
14824532
155bb269
hex430200

4391424 has 60 divisors (see below), whose sum is σ = 12687246. Its totient is φ = 1462272.

The previous prime is 4391417. The next prime is 4391437. The reversal of 4391424 is 4241934.

It can be written as a sum of positive squares in only one way, i.e., 3873024 + 518400 = 1968^2 + 720^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4132 + ... + 5084.

Almost surely, 24391424 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 4391424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6343623).

4391424 is an abundant number, since it is smaller than the sum of its proper divisors (8295822).

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

4391424 is an equidigital number, since it uses as much as digits as its factorization.

4391424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 958 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 4391424 is about 2095.5724754825. The cubic root of 4391424 is about 163.7577227677.

The spelling of 4391424 in words is "four million, three hundred ninety-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 953 1152 1536 1906 2304 2859 3812 4608 5718 7624 8577 11436 15248 17154 22872 30496 34308 45744 60992 68616 91488 121984 137232 182976 243968 274464 365952 487936 548928 731904 1097856 1463808 2195712 4391424