Search a number
-
+
38303840 = 255415839
BaseRepresentation
bin1001001000011…
…1100001100000
32200002000222202
42102013201200
534301210330
63444552332
7643402001
oct222074140
980060882
1038303840
111a692273
12109b26a8
137c217c3
1451311a8
153569445
hex2487860

38303840 has 48 divisors (see below), whose sum is σ = 92715840. Its totient is φ = 14945280.

The previous prime is 38303831. The next prime is 38303849. The reversal of 38303840 is 4830383.

It is an interprime number because it is at equal distance from previous prime (38303831) and next prime (38303849).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38303849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3641 + ... + 9479.

It is an arithmetic number, because the mean of its divisors is an integer number (1931580).

Almost surely, 238303840 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 38303840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46357920).

38303840 is an abundant number, since it is smaller than the sum of its proper divisors (54412000).

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

38303840 is a wasteful number, since it uses less digits than its factorization.

38303840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5895 (or 5887 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 38303840 is about 6189.0096138235. The cubic root of 38303840 is about 337.0912179292.

The spelling of 38303840 in words is "thirty-eight million, three hundred three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 5839 6560 11678 23356 29195 46712 58390 93424 116780 186848 233560 239399 467120 478798 934240 957596 1196995 1915192 2393990 3830384 4787980 7660768 9575960 19151920 38303840