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8338428 = 22327229163
BaseRepresentation
bin11111110011101111111100
3120200122011200
4133303233330
54113312203
6454415500
7130606200
oct37635774
916618150
108338428
11478586a
122961590
13195c4a7
141170b00
15aea9a3
hex7f3bfc

8338428 has 108 divisors (see below), whose sum is σ = 25520040. Its totient is φ = 2286144.

The previous prime is 8338423. The next prime is 8338481. The reversal of 8338428 is 8248338.

It is a happy number.

It is a super-2 number, since 2×83384282 = 139058763022368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8338392 and 8338401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8338423) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51075 + ... + 51237.

Almost surely, 28338428 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 8338428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12760020).

8338428 is an abundant number, since it is smaller than the sum of its proper divisors (17181612).

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

8338428 is a wasteful number, since it uses less digits than its factorization.

8338428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 8338428 is about 2887.6336332714. The cubic root of 8338428 is about 202.7813738247.

It can be divided in two parts, 833 and 8428, that added together give a cube (9261 = 213).

The spelling of 8338428 in words is "eight million, three hundred thirty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 49 58 63 84 87 98 116 126 147 163 174 196 203 252 261 294 326 348 406 441 489 522 588 609 652 812 882 978 1044 1141 1218 1421 1467 1764 1827 1956 2282 2436 2842 2934 3423 3654 4263 4564 4727 5684 5868 6846 7308 7987 8526 9454 10269 12789 13692 14181 15974 17052 18908 20538 23961 25578 28362 31948 33089 41076 42543 47922 51156 56724 66178 71883 85086 95844 99267 132356 143766 170172 198534 231623 287532 297801 397068 463246 595602 694869 926492 1191204 1389738 2084607 2779476 4169214 8338428