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38385750 = 23531331127
BaseRepresentation
bin1001001001101…
…1100001010110
32200020012100110
42102123201112
534311321000
63450423450
7644162544
oct222334126
980205313
1038385750
111a738867
1210a31b86
137c4cb80
145152d94
153583850
hex249b856

38385750 has 128 divisors (see below), whose sum is σ = 107347968. Its totient is φ = 9072000.

The previous prime is 38385749. The next prime is 38385773. The reversal of 38385750 is 5758383.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 38385699 and 38385708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302187 + ... + 302313.

It is an arithmetic number, because the mean of its divisors is an integer number (838656).

Almost surely, 238385750 is an apocalyptic number.

38385750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38385750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53673984).

38385750 is an abundant number, since it is smaller than the sum of its proper divisors (68962218).

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

38385750 is a wasteful number, since it uses less digits than its factorization.

38385750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 38385750 is about 6195.6234553110. The cubic root of 38385750 is about 337.3313286120.

The spelling of 38385750 in words is "thirty-eight million, three hundred eighty-five thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 31 39 50 62 65 75 78 93 125 127 130 150 155 186 195 250 254 310 325 375 381 390 403 465 635 650 750 762 775 806 930 975 1209 1270 1550 1625 1651 1905 1950 2015 2325 2418 3175 3250 3302 3810 3875 3937 4030 4650 4875 4953 6045 6350 7750 7874 8255 9525 9750 9906 10075 11625 11811 12090 15875 16510 19050 19685 20150 23250 23622 24765 30225 31750 39370 41275 47625 49530 50375 51181 59055 60450 82550 95250 98425 100750 102362 118110 123825 151125 153543 196850 206375 247650 255905 295275 302250 307086 412750 492125 511810 590550 619125 767715 984250 1238250 1279525 1476375 1535430 2559050 2952750 3838575 6397625 7677150 12795250 19192875 38385750