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24928340 = 2253121297
BaseRepresentation
bin101111100011…
…0000001010100
31201220111020212
41133012001110
522340201330
62250144552
7421613243
oct137060124
951814225
1024928340
1113087038
128422158
13521a6c8
14344c95a
1522c6295
hex17c6054

24928340 has 36 divisors (see below), whose sum is σ = 54134388. Its totient is φ = 9642240.

The previous prime is 24928339. The next prime is 24928349. The reversal of 24928340 is 4382942.

It can be written as a sum of positive squares in 2 ways, for example, as 19377604 + 5550736 = 4402^2 + 2356^2 .

It is a junction number, because it is equal to n+sod(n) for n = 24928297 and 24928306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24928349) 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 11 ways as a sum of consecutive naturals, for example, 18572 + ... + 19868.

It is an arithmetic number, because the mean of its divisors is an integer number (1503733).

Almost surely, 224928340 is an apocalyptic number.

24928340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24928340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27067194).

24928340 is an abundant number, since it is smaller than the sum of its proper divisors (29206048).

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

24928340 is a wasteful number, since it uses less digits than its factorization.

24928340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 24928340 is about 4992.8288574715. The cubic root of 24928340 is about 292.1221263088.

The spelling of 24928340 in words is "twenty-four million, nine hundred twenty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 961 1297 1922 2594 3844 4805 5188 6485 9610 12970 19220 25940 40207 80414 160828 201035 402070 804140 1246417 2492834 4985668 6232085 12464170 24928340