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38803248 = 243211217131
BaseRepresentation
bin1001010000000…
…1011100110000
32201000102001100
42110001130300
534413200443
63503404400
7650552001
oct224013460
981012040
1038803248
111a9a3500
1210bb3700
138067c03
1452211a8
1536173d3
hex2501730

38803248 has 180 divisors, whose sum is σ = 127351224. Its totient is φ = 10982400.

The previous prime is 38803241. The next prime is 38803249. The reversal of 38803248 is 84230883.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38803241) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 296143 + ... + 296273.

Almost surely, 238803248 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 38803248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63675612).

38803248 is an abundant number, since it is smaller than the sum of its proper divisors (88547976).

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

38803248 is a wasteful number, since it uses less digits than its factorization.

38803248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 38803248 is about 6229.2253129904. The cubic root of 38803248 is about 338.5499025693.

The spelling of 38803248 in words is "thirty-eight million, eight hundred three thousand, two hundred forty-eight".