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38163312 = 2434112677
BaseRepresentation
bin1001000110010…
…1001101110000
32122210220020000
42101211031300
534232211222
63441550000
7642245205
oct221451560
978726200
1038163312
111a5a6730
1210945300
137ba2855
1450d5cac
15353c9ac
hex2465370

38163312 has 100 divisors (see below), whose sum is σ = 120542136. Its totient is φ = 11560320.

The previous prime is 38163259. The next prime is 38163319. The reversal of 38163312 is 21336183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38163319) 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 19 ways as a sum of consecutive naturals, for example, 12918 + ... + 15594.

Almost surely, 238163312 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 38163312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60271068).

38163312 is an abundant number, since it is smaller than the sum of its proper divisors (82378824).

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

38163312 is a wasteful number, since it uses less digits than its factorization.

38163312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2693 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 38163312 is about 6177.6461536737. The cubic root of 38163312 is about 336.6784759879.

Adding to 38163312 its reverse (21336183), we get a palindrome (59499495).

The spelling of 38163312 in words is "thirty-eight million, one hundred sixty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1584 1782 2376 2677 3564 4752 5354 7128 8031 10708 14256 16062 21416 24093 29447 32124 42832 48186 58894 64248 72279 88341 96372 117788 128496 144558 176682 192744 216837 235576 265023 289116 353364 385488 433674 471152 530046 578232 706728 795069 867348 1060092 1156464 1413456 1590138 1734696 2120184 2385207 3180276 3469392 4240368 4770414 6360552 9540828 12721104 19081656 38163312