Search a number
-
+
38131218 = 232103131157
BaseRepresentation
bin1001000101110…
…1011000010010
32122202021012100
42101131120102
534230144333
63441141230
7642052506
oct221353022
978667170
1038131218
111a584604
121092a816
137b91068
1450c8306
153533213
hex245d612

38131218 has 48 divisors (see below), whose sum is σ = 84591936. Its totient is φ = 12411360.

The previous prime is 38131211. The next prime is 38131229. The reversal of 38131218 is 81213183.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 38131191 and 38131200.

It is not an unprimeable number, because it can be changed into a prime (38131211) 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 23 ways as a sum of consecutive naturals, for example, 242796 + ... + 242952.

It is an arithmetic number, because the mean of its divisors is an integer number (1762332).

Almost surely, 238131218 is an apocalyptic number.

38131218 is an abundant number, since it is smaller than the sum of its proper divisors (46460718).

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

38131218 is a wasteful number, since it uses less digits than its factorization.

38131218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 396 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 38131218 is about 6175.0480160076. The cubic root of 38131218 is about 336.5840712762.

The spelling of 38131218 in words is "thirty-eight million, one hundred thirty-one thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 103 131 157 206 262 309 314 393 471 618 786 927 942 1179 1413 1854 2358 2826 13493 16171 20567 26986 32342 40479 41134 48513 61701 80958 97026 121437 123402 145539 185103 242874 291078 370206 2118401 4236802 6355203 12710406 19065609 38131218