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38380000 = 255419101
BaseRepresentation
bin1001001001101…
…0000111100000
32200012220110111
42102122013200
534311130000
63450341104
7644140021
oct222320740
980186414
1038380000
111a73450a
1210a2a794
137c4a379
145150c48
153581cba
hex249a1e0

38380000 has 120 divisors (see below), whose sum is σ = 100374120. Its totient is φ = 14400000.

The previous prime is 38379967. The next prime is 38380007. The reversal of 38380000 is 8383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38380007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 379950 + ... + 380050.

It is an arithmetic number, because the mean of its divisors is an integer number (836451).

Almost surely, 238380000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50187060).

38380000 is an abundant number, since it is smaller than the sum of its proper divisors (61994120).

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

38380000 is a wasteful number, since it uses less digits than its factorization.

38380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 38380000 is about 6195.1594006934. The cubic root of 38380000 is about 337.3144842362.

Adding to 38380000 its reverse (8383), we get a palindrome (38388383).

It can be divided in two parts, 38 and 380000, that multiplied together give a square (14440000 = 38002).

The spelling of 38380000 in words is "thirty-eight million, three hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 101 125 152 160 190 200 202 250 304 380 400 404 475 500 505 608 625 760 800 808 950 1000 1010 1250 1520 1616 1900 1919 2000 2020 2375 2500 2525 3040 3232 3800 3838 4000 4040 4750 5000 5050 7600 7676 8080 9500 9595 10000 10100 11875 12625 15200 15352 16160 19000 19190 20000 20200 23750 25250 30704 38000 38380 40400 47500 47975 50500 61408 63125 76000 76760 80800 95000 95950 101000 126250 153520 190000 191900 202000 239875 252500 307040 380000 383800 404000 479750 505000 767600 959500 1010000 1199375 1535200 1919000 2020000 2398750 3838000 4797500 7676000 9595000 19190000 38380000