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38906550 = 23252312789
BaseRepresentation
bin1001010001101…
…0101010110110
32201012122202100
42110122222312
534430002200
63505522530
7651462114
oct224325266
981178670
1038906550
111aa64081
1211043446
1380a2c37
14524aab4
153637d00
hex251aab6

38906550 has 72 divisors (see below), whose sum is σ = 107939520. Its totient is φ = 10036800.

The previous prime is 38906521. The next prime is 38906551. The reversal of 38906550 is 5560983.

38906550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38906551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12556 + ... + 15344.

It is an arithmetic number, because the mean of its divisors is an integer number (1499160).

Almost surely, 238906550 is an apocalyptic number.

38906550 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 38906550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53969760).

38906550 is an abundant number, since it is smaller than the sum of its proper divisors (69032970).

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

38906550 is a wasteful number, since it uses less digits than its factorization.

38906550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 38906550 is about 6237.5115230354. The cubic root of 38906550 is about 338.8500655258.

It can be divided in two parts, 3890 and 6550, that added together give a triangular number (10440 = T144).

The spelling of 38906550 in words is "thirty-eight million, nine hundred six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 90 93 150 155 186 225 279 310 450 465 558 775 930 1395 1550 2325 2789 2790 4650 5578 6975 8367 13945 13950 16734 25101 27890 41835 50202 69725 83670 86459 125505 139450 172918 209175 251010 259377 418350 432295 518754 627525 778131 864590 1255050 1296885 1556262 2161475 2593770 3890655 4322950 6484425 7781310 12968850 19453275 38906550