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38693928 = 23372132531
BaseRepresentation
bin1001001110011…
…0110000101000
32200210212002110
42103212300220
534401201203
63501202320
7646615200
oct223466050
980725073
1038693928
111a929359
1210b603a0
13802a220
1451d3400
1535e4d03
hex24e6c28

38693928 has 96 divisors (see below), whose sum is σ = 121232160. Its totient is φ = 10200960.

The previous prime is 38693923. The next prime is 38693929. The reversal of 38693928 is 82939683.

It is not an unprimeable number, because it can be changed into a prime (38693923) 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 23 ways as a sum of consecutive naturals, for example, 14023 + ... + 16553.

It is an arithmetic number, because the mean of its divisors is an integer number (1262835).

Almost surely, 238693928 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 38693928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60616080).

38693928 is an abundant number, since it is smaller than the sum of its proper divisors (82538232).

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

38693928 is a wasteful number, since it uses less digits than its factorization.

38693928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2556 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 38693928 is about 6220.4443571179. Note that the first 3 decimals coincide. The cubic root of 38693928 is about 338.2316724555.

It can be divided in two parts, 38693 and 928, that added together give a triangular number (39621 = T281).

The spelling of 38693928 in words is "thirty-eight million, six hundred ninety-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 728 1092 1176 1274 1911 2184 2531 2548 3822 5062 5096 7593 7644 10124 15186 15288 17717 20248 30372 32903 35434 53151 60744 65806 70868 98709 106302 124019 131612 141736 197418 212604 230321 248038 263224 372057 394836 425208 460642 496076 690963 744114 789672 921284 992152 1381926 1488228 1612247 1842568 2763852 2976456 3224494 4836741 5527704 6448988 9673482 12897976 19346964 38693928