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38041248 = 253728087
BaseRepresentation
bin1001000100011…
…1011010100000
32122120200210010
42101013122200
534214304443
63435204520
7641226300
oct221073240
978520703
1038041248
111a522a53
12108a6740
137b5c11b
1450a3600
153516733
hex24476a0

38041248 has 72 divisors (see below), whose sum is σ = 116176032. Its totient is φ = 10867584.

The previous prime is 38041231. The next prime is 38041271. The reversal of 38041248 is 84214083.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 661 + ... + 8747.

It is an arithmetic number, because the mean of its divisors is an integer number (1613556).

Almost surely, 238041248 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 38041248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58088016).

38041248 is an abundant number, since it is smaller than the sum of its proper divisors (78134784).

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

38041248 is a wasteful number, since it uses less digits than its factorization.

38041248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8114 (or 8099 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 38041248 is about 6167.7587501458. The cubic root of 38041248 is about 336.3191412201.

The spelling of 38041248 in words is "thirty-eight million, forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 8087 16174 24261 32348 48522 56609 64696 97044 113218 129392 169827 194088 226436 258784 339654 388176 396263 452872 679308 776352 792526 905744 1188789 1358616 1585052 1811488 2377578 2717232 3170104 4755156 5434464 6340208 9510312 12680416 19020624 38041248