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9393888 = 253721997
BaseRepresentation
bin100011110101…
…011011100000
3122200020222210
4203311123200
54401101023
6533202120
7142563300
oct43653340
918606883
109393888
115336849
123190340
131c3ba1a
141367600
15c58593
hex8f56e0

9393888 has 72 divisors (see below), whose sum is σ = 28699272. Its totient is φ = 2682624.

The previous prime is 9393871. The next prime is 9393929. The reversal of 9393888 is 8883939.

9393888 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 3706 + ... + 5702.

It is an arithmetic number, because the mean of its divisors is an integer number (398601).

Almost surely, 29393888 is an apocalyptic number.

9393888 is a gapful number since it is divisible by the number (98) 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 9393888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14349636).

9393888 is an abundant number, since it is smaller than the sum of its proper divisors (19305384).

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

9393888 is a wasteful number, since it uses less digits than its factorization.

9393888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 2009 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 9393888 is about 3064.9450239768. The cubic root of 9393888 is about 210.9996780541. Note that the first 3 decimals are identical.

The spelling of 9393888 in words is "nine million, three hundred ninety-three thousand, eight hundred eighty-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 1997 2352 3994 4704 5991 7988 11982 13979 15976 23964 27958 31952 41937 47928 55916 63904 83874 95856 97853 111832 167748 191712 195706 223664 293559 335496 391412 447328 587118 670992 782824 1174236 1341984 1565648 2348472 3131296 4696944 9393888