Search a number
-
+
38775390 = 23519591153
BaseRepresentation
bin1001001111101…
…0101001011110
32200221222211120
42103322221132
534411303030
63503031410
7650404533
oct223725136
980858746
1038775390
111a984585
1210b9b566
138058324
145214d8a
15360e010
hex24faa5e

38775390 has 64 divisors (see below), whose sum is σ = 99705600. Its totient is φ = 9621504.

The previous prime is 38775361. The next prime is 38775397. The reversal of 38775390 is 9357783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38775397) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33054 + ... + 34206.

It is an arithmetic number, because the mean of its divisors is an integer number (1557900).

Almost surely, 238775390 is an apocalyptic number.

38775390 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 38775390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49852800).

38775390 is an abundant number, since it is smaller than the sum of its proper divisors (60930210).

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

38775390 is a wasteful number, since it uses less digits than its factorization.

38775390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241.

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 38775390 is about 6226.9888389172. The cubic root of 38775390 is about 338.4688648419.

It can be divided in two parts, 38775 and 390, that multiplied together give a triangular number (15122250 = T5499).

The spelling of 38775390 in words is "thirty-eight million, seven hundred seventy-five thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 59 95 114 118 177 190 285 295 354 570 590 885 1121 1153 1770 2242 2306 3363 3459 5605 5765 6726 6918 11210 11530 16815 17295 21907 33630 34590 43814 65721 68027 109535 131442 136054 204081 219070 328605 340135 408162 657210 680270 1020405 1292513 2040810 2585026 3877539 6462565 7755078 12925130 19387695 38775390