Search a number
-
+
38253864 = 23311473083
BaseRepresentation
bin1001000111101…
…1010100101000
32122222111102210
42101323110220
534243110424
63443525120
7643103205
oct221732450
978874383
1038253864
111a658770
12109897a0
137c04b2c
14511acac
153559729
hex247b528

38253864 has 64 divisors (see below), whose sum is σ = 106583040. Its totient is φ = 11341760.

The previous prime is 38253857. The next prime is 38253869. The reversal of 38253864 is 46835283.

It is a super-2 number, since 2×382538642 = 2926716221860992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38253869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10867 + ... + 13949.

It is an arithmetic number, because the mean of its divisors is an integer number (1665360).

Almost surely, 238253864 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 38253864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53291520).

38253864 is an abundant number, since it is smaller than the sum of its proper divisors (68329176).

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

38253864 is a wasteful number, since it uses less digits than its factorization.

38253864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150 (or 3146 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 38253864 is about 6184.9708164227. The cubic root of 38253864 is about 336.9445502783.

The spelling of 38253864 in words is "thirty-eight million, two hundred fifty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 1034 1128 1551 2068 3083 3102 4136 6166 6204 9249 12332 12408 18498 24664 33913 36996 67826 73992 101739 135652 144901 203478 271304 289802 406956 434703 579604 813912 869406 1159208 1593911 1738812 3187822 3477624 4781733 6375644 9563466 12751288 19126932 38253864