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79424 = 261773
BaseRepresentation
bin10011011001000000
311000221122
4103121000
510020144
61411412
7450362
oct233100
9130848
1079424
1154744
1239b68
132a1c7
1420d32
15187ee
hex13640

79424 has 28 divisors (see below), whose sum is σ = 169164. Its totient is φ = 36864.

The previous prime is 79423. The next prime is 79427. The reversal of 79424 is 42497.

It can be written as a sum of positive squares in 2 ways, for example, as 53824 + 25600 = 232^2 + 160^2 .

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 79393 and 79402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79423) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1052 + ... + 1124.

279424 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 79424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84582).

79424 is an abundant number, since it is smaller than the sum of its proper divisors (89740).

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

79424 is a wasteful number, since it uses less digits than its factorization.

79424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 92 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 79424 is about 281.8226392609. The cubic root of 79424 is about 42.9850317471.

It can be divided in two parts, 794 and 24, that added together give a palindrome (818).

The spelling of 79424 in words is "seventy-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 73 136 146 272 292 544 584 1088 1168 1241 2336 2482 4672 4964 9928 19856 39712 79424