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38241056 = 257792161
BaseRepresentation
bin1001000111100…
…0001100100000
32122221211212102
42101320030200
534242203211
63443345532
7643020650
oct221701440
978854772
1038241056
111a64a087
12109822a8
137bcc059
145116360
153555a3b
hex2478320

38241056 has 48 divisors (see below), whose sum is σ = 87171840. Its totient is φ = 16174080.

The previous prime is 38241001. The next prime is 38241059. The reversal of 38241056 is 65014283.

It is not an unprimeable number, because it can be changed into a prime (38241059) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16616 + ... + 18776.

It is an arithmetic number, because the mean of its divisors is an integer number (1816080).

Almost surely, 238241056 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 38241056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43585920).

38241056 is an abundant number, since it is smaller than the sum of its proper divisors (48930784).

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

38241056 is a wasteful number, since it uses less digits than its factorization.

38241056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 38241056 is about 6183.9353166087. The cubic root of 38241056 is about 336.9069412886.

The spelling of 38241056 in words is "thirty-eight million, two hundred forty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 224 316 553 632 1106 1264 2161 2212 2528 4322 4424 8644 8848 15127 17288 17696 30254 34576 60508 69152 121016 170719 242032 341438 484064 682876 1195033 1365752 2390066 2731504 4780132 5463008 9560264 19120528 38241056