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38338848 = 2532133121
BaseRepresentation
bin1001001001000…
…0000100100000
32200010211000100
42102100010200
534303320343
63445422400
7643606032
oct222200440
980124010
1038338848
111a7065a9
1210a0aa00
137c34712
14513dc52
1535749d3
hex2490120

38338848 has 36 divisors (see below), whose sum is σ = 109026918. Its totient is φ = 12779520.

The previous prime is 38338823. The next prime is 38338879. The reversal of 38338848 is 84883383.

It can be written as a sum of positive squares in only one way, i.e., 21790224 + 16548624 = 4668^2 + 4068^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66273 + ... + 66848.

Almost surely, 238338848 is an apocalyptic number.

It is an amenable number.

38338848 is an abundant number, since it is smaller than the sum of its proper divisors (70688070).

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

38338848 is a wasteful number, since it uses less digits than its factorization.

38338848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133137 (or 133126 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 38338848 is about 6191.8372071623. The cubic root of 38338848 is about 337.1938821009.

The spelling of 38338848 in words is "thirty-eight million, three hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 133121 266242 399363 532484 798726 1064968 1198089 1597452 2129936 2396178 3194904 4259872 4792356 6389808 9584712 12779616 19169424 38338848