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38639172 = 223112132389
BaseRepresentation
bin1001001101100…
…1011001000100
32200201001222110
42103121121010
534342423142
63500101020
7646266435
oct223313104
980631873
1038639172
111a8a1200
1210b34770
13800b320
1451bb48c
1535d399c
hex24d9644

38639172 has 144 divisors (see below), whose sum is σ = 112613760. Its totient is φ = 10222080.

The previous prime is 38639143. The next prime is 38639177. The reversal of 38639172 is 27193683.

It is a super-2 number, since 2×386391722 = 2985971225691168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 38639172.

It is not an unprimeable number, because it can be changed into a prime (38639177) 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 47 ways as a sum of consecutive naturals, for example, 434104 + ... + 434192.

It is an arithmetic number, because the mean of its divisors is an integer number (782040).

Almost surely, 238639172 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 38639172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56306880).

38639172 is an abundant number, since it is smaller than the sum of its proper divisors (73974588).

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

38639172 is a wasteful number, since it uses less digits than its factorization.

38639172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 141 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 38639172 is about 6216.0415056529. The cubic root of 38639172 is about 338.0720526107.

The spelling of 38639172 in words is "thirty-eight million, six hundred thirty-nine thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 13 22 23 26 33 39 44 46 52 66 69 78 89 92 121 132 138 143 156 178 242 253 267 276 286 299 356 363 429 484 506 534 572 598 726 759 858 897 979 1012 1068 1157 1196 1452 1518 1573 1716 1794 1958 2047 2314 2783 2937 3036 3146 3289 3471 3588 3916 4094 4628 4719 5566 5874 6141 6292 6578 6942 8188 8349 9438 9867 10769 11132 11748 12282 12727 13156 13884 16698 18876 19734 21538 22517 24564 25454 26611 32307 33396 36179 38181 39468 43076 45034 50908 53222 64614 67551 72358 76362 79833 90068 106444 108537 129228 135102 139997 144716 152724 159666 217074 247687 270204 279994 292721 319332 419991 434148 495374 559988 585442 743061 839982 878163 990748 1170884 1486122 1679964 1756326 2972244 3219931 3512652 6439862 9659793 12879724 19319586 38639172