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38385450 = 23252197433
BaseRepresentation
bin1001001001101…
…1011100101010
32200020011221100
42102123130222
534311313300
63450422230
7644161635
oct222333452
980204840
1038385450
111a738614
1210a31976
137c4c9ac
145152c1c
153583700
hex249b72a

38385450 has 72 divisors (see below), whose sum is σ = 103891788. Its totient is φ = 10160640.

The previous prime is 38385449. The next prime is 38385467. The reversal of 38385450 is 5458383.

38385450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 17564481 + 20820969 = 4191^2 + 4563^2 .

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

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, 88434 + ... + 88866.

Almost surely, 238385450 is an apocalyptic number.

38385450 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 38385450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51945894).

38385450 is an abundant number, since it is smaller than the sum of its proper divisors (65506338).

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

38385450 is a wasteful number, since it uses less digits than its factorization.

38385450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 38385450 is about 6195.5992446252. The cubic root of 38385450 is about 337.3304498166.

The spelling of 38385450 in words is "thirty-eight million, three hundred eighty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 197 225 394 433 450 591 866 985 1182 1299 1773 1970 2165 2598 2955 3546 3897 4330 4925 5910 6495 7794 8865 9850 10825 12990 14775 17730 19485 21650 29550 32475 38970 44325 64950 85301 88650 97425 170602 194850 255903 426505 511806 767709 853010 1279515 1535418 2132525 2559030 3838545 4265050 6397575 7677090 12795150 19192725 38385450