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38248448 = 21372329
BaseRepresentation
bin1001000111101…
…0000000000000
32122222020000012
42101322000000
534242422243
63443444052
7643051340
oct221720000
978866005
1038248448
111a654697
1210986628
137c02524
145118d20
153557d18
hex247a000

38248448 has 112 divisors (see below), whose sum is σ = 94366080. Its totient is φ = 15138816.

The previous prime is 38248433. The next prime is 38248519. The reversal of 38248448 is 84484283.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

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, 1318898 + ... + 1318926.

Almost surely, 238248448 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 38248448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47183040).

38248448 is an abundant number, since it is smaller than the sum of its proper divisors (56117632).

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

38248448 is an equidigital number, since it uses as much as digits as its factorization.

38248448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 61 counting only the distinct ones).

The product of its digits is 196608, while the sum is 41.

The square root of 38248448 is about 6184.5329653904. The cubic root of 38248448 is about 336.9286479387.

The spelling of 38248448 in words is "thirty-eight million, two hundred forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 29 32 46 56 58 64 92 112 116 128 161 184 203 224 232 256 322 368 406 448 464 512 644 667 736 812 896 928 1024 1288 1334 1472 1624 1792 1856 2048 2576 2668 2944 3248 3584 3712 4096 4669 5152 5336 5888 6496 7168 7424 8192 9338 10304 10672 11776 12992 14336 14848 18676 20608 21344 23552 25984 28672 29696 37352 41216 42688 47104 51968 57344 59392 74704 82432 85376 94208 103936 118784 149408 164864 170752 188416 207872 237568 298816 329728 341504 415744 597632 659456 683008 831488 1195264 1318912 1366016 1662976 2390528 2732032 4781056 5464064 9562112 19124224 38248448