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5428038 = 2371131379
BaseRepresentation
bin10100101101001101000110
3101012202212110
4110231031012
52342144123
6312201450
764065120
oct24551506
911182773
105428038
113078190
121999286
131180875
14a14210
15723493
hex52d346

5428038 has 64 divisors (see below), whose sum is σ = 14008320. Its totient is φ = 1360800.

The previous prime is 5428037. The next prime is 5428039. The reversal of 5428038 is 8308245.

It is an interprime number because it is at equal distance from previous prime (5428037) and next prime (5428039).

It is a junction number, because it is equal to n+sod(n) for n = 5427996 and 5428014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5428037) 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 31 ways as a sum of consecutive naturals, for example, 14133 + ... + 14511.

It is an arithmetic number, because the mean of its divisors is an integer number (218880).

Almost surely, 25428038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5428038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7004160).

5428038 is an abundant number, since it is smaller than the sum of its proper divisors (8580282).

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

5428038 is a wasteful number, since it uses less digits than its factorization.

5428038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433.

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 5428038 is about 2329.8150141159. The cubic root of 5428038 is about 175.7441832737.

The spelling of 5428038 in words is "five million, four hundred twenty-eight thousand, thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 154 186 217 231 341 379 434 462 651 682 758 1023 1137 1302 2046 2274 2387 2653 4169 4774 5306 7161 7959 8338 11749 12507 14322 15918 23498 25014 29183 35247 58366 70494 82243 87549 129239 164486 175098 246729 258478 387717 493458 775434 904673 1809346 2714019 5428038