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7424 = 2829
BaseRepresentation
bin1110100000000
3101011222
41310000
5214144
654212
730434
oct16400
911158
107424
11563a
124368
1334c1
1429c4
1522ee
hex1d00

7424 has 18 divisors (see below), whose sum is σ = 15330. Its totient is φ = 3584.

The previous prime is 7417. The next prime is 7433. The reversal of 7424 is 4247.

It can be written as a sum of positive squares in only one way, i.e., 6400 + 1024 = 80^2 + 32^2 .

It is an Ulam number.

It is a plaindrome in base 9 and base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

7424 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 242 + ... + 270.

27424 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 7424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7665).

7424 is an abundant number, since it is smaller than the sum of its proper divisors (7906).

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

7424 is an equidigital number, since it uses as much as digits as its factorization.

7424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 31 counting only the distinct ones).

The product of its digits is 224, while the sum is 17.

The square root of 7424 is about 86.1626369142. The cubic root of 7424 is about 19.5079958443.

The spelling of 7424 in words is "seven thousand, four hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 3712 7424