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38113218 = 232111321767
BaseRepresentation
bin1001000101100…
…0111111000010
32122201100111200
42101120333002
534224110333
63440522030
7641646153
oct221307702
978640450
1038113218
111a572030
1210920316
137b85b00
1450c192a
15352cc13
hex2458fc2

38113218 has 144 divisors (see below), whose sum is σ = 104828256. Its totient is φ = 9884160.

The previous prime is 38113213. The next prime is 38113223. The reversal of 38113218 is 81231183.

It is an interprime number because it is at equal distance from previous prime (38113213) and next prime (38113223).

It is a junction number, because it is equal to n+sod(n) for n = 38113191 and 38113200.

It is not an unprimeable number, because it can be changed into a prime (38113211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 568821 + ... + 568887.

It is an arithmetic number, because the mean of its divisors is an integer number (727974).

Almost surely, 238113218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38113218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52414128).

38113218 is an abundant number, since it is smaller than the sum of its proper divisors (66715038).

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

38113218 is a wasteful number, since it uses less digits than its factorization.

38113218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 38113218 is about 6173.5903654195. The cubic root of 38113218 is about 336.5311009702.

The spelling of 38113218 in words is "thirty-eight million, one hundred thirteen thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 11 13 17 18 22 26 33 34 39 51 66 67 78 99 102 117 134 143 153 169 187 198 201 221 234 286 306 338 374 402 429 442 507 561 603 663 737 858 871 1014 1122 1139 1206 1287 1326 1474 1521 1683 1742 1859 1989 2211 2278 2431 2574 2613 2873 3042 3366 3417 3718 3978 4422 4862 5226 5577 5746 6633 6834 7293 7839 8619 9581 10251 11154 11323 12529 13266 14586 14807 15678 16731 17238 19162 20502 21879 22646 25058 25857 28743 29614 31603 33462 33969 37587 43758 44421 51714 57486 63206 67938 75174 86229 88842 94809 101907 112761 124553 133263 162877 172458 189618 192491 203814 225522 249106 266526 284427 325754 373659 384982 488631 568854 577473 747318 977262 1120977 1154946 1465893 1732419 2117401 2241954 2931786 3464838 4234802 6352203 12704406 19056609 38113218