Search a number
-
+
38438730 = 23251141947
BaseRepresentation
bin1001001010100…
…0011101001010
32200022220000200
42102220131022
534320014410
63451513030
7644503161
oct222503512
980286020
1038438730
111a774650
1210a58776
137c6b015
1451683d8
1535943c0
hex24a874a

38438730 has 96 divisors (see below), whose sum is σ = 111803328. Its totient is φ = 9081600.

The previous prime is 38438713. The next prime is 38438737. The reversal of 38438730 is 3783483.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38438737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40117 + ... + 41063.

It is an arithmetic number, because the mean of its divisors is an integer number (1164618).

Almost surely, 238438730 is an apocalyptic number.

38438730 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 38438730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55901664).

38438730 is an abundant number, since it is smaller than the sum of its proper divisors (73364598).

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

38438730 is a wasteful number, since it uses less digits than its factorization.

38438730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 38438730 is about 6199.8975797992. The cubic root of 38438730 is about 337.4864521311.

The spelling of 38438730 in words is "thirty-eight million, four hundred thirty-eight thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 41 45 55 66 82 90 99 110 123 165 198 205 246 330 369 410 451 495 615 738 902 947 990 1230 1353 1845 1894 2255 2706 2841 3690 4059 4510 4735 5682 6765 8118 8523 9470 10417 13530 14205 17046 20295 20834 28410 31251 38827 40590 42615 52085 62502 77654 85230 93753 104170 116481 156255 187506 194135 232962 312510 349443 388270 427097 468765 582405 698886 854194 937530 1164810 1281291 1747215 2135485 2562582 3494430 3843873 4270970 6406455 7687746 12812910 19219365 38438730