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38678528 = 21271971
BaseRepresentation
bin1001001110001…
…1000000000000
32200210001222002
42103203000000
534400203103
63501003132
7646522250
oct223430000
980701862
1038678528
111a918829
1210b534a8
138023205
1451cb960
1535e0488
hex24e3000

38678528 has 104 divisors (see below), whose sum is σ = 94360320. Its totient is φ = 15482880.

The previous prime is 38678527. The next prime is 38678537. The reversal of 38678528 is 82587683.

It is not an unprimeable number, because it can be changed into a prime (38678527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 544733 + ... + 544803.

Almost surely, 238678528 is an apocalyptic number.

38678528 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38678528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47180160).

38678528 is an abundant number, since it is smaller than the sum of its proper divisors (55681792).

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

38678528 is an equidigital number, since it uses as much as digits as its factorization.

38678528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 99 counting only the distinct ones).

The product of its digits is 645120, while the sum is 47.

The square root of 38678528 is about 6219.2063802386. The cubic root of 38678528 is about 338.1867949670.

The spelling of 38678528 in words is "thirty-eight million, six hundred seventy-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 71 76 112 128 133 142 152 224 256 266 284 304 448 497 512 532 568 608 896 994 1024 1064 1136 1216 1349 1792 1988 2048 2128 2272 2432 2698 3584 3976 4096 4256 4544 4864 5396 7168 7952 8512 9088 9443 9728 10792 14336 15904 17024 18176 18886 19456 21584 28672 31808 34048 36352 37772 38912 43168 63616 68096 72704 75544 77824 86336 127232 136192 145408 151088 172672 254464 272384 290816 302176 345344 508928 544768 604352 690688 1017856 1208704 1381376 2035712 2417408 2762752 4834816 5525504 9669632 19339264 38678528