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38018848 = 257198933
BaseRepresentation
bin1001000100000…
…1111100100000
32122112120001111
42101001330200
534213100343
63434513104
7641104060
oct221017440
978476044
1038018848
111a50813a
1210895794
137b51b7a
1450993a0
15350ec9d
hex2441f20

38018848 has 48 divisors (see below), whose sum is σ = 90054720. Its totient is φ = 15434496.

The previous prime is 38018821. The next prime is 38018881. The reversal of 38018848 is 84881083.

It is a self number, because there is not a number n which added to its sum of digits gives 38018848.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211 + ... + 8722.

It is an arithmetic number, because the mean of its divisors is an integer number (1876140).

Almost surely, 238018848 is an apocalyptic number.

38018848 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38018848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45027360).

38018848 is an abundant number, since it is smaller than the sum of its proper divisors (52035872).

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

38018848 is a wasteful number, since it uses less digits than its factorization.

38018848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8969 (or 8961 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 38018848 is about 6165.9425881207. The cubic root of 38018848 is about 336.2531161525.

The spelling of 38018848 in words is "thirty-eight million, eighteen thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 8933 17866 35732 62531 71464 125062 142928 169727 250124 285856 339454 500248 678908 1000496 1188089 1357816 2000992 2376178 2715632 4752356 5431264 9504712 19009424 38018848