Search a number
-
+
238832496 = 2433778979
BaseRepresentation
bin11100011110001…
…00101101110000
3121122101221121000
432033010231300
5442120114441
635411002000
75630020440
oct1617045560
9548357530
10238832496
111128a6431
1267b99300
133a632606
1423a10120
1515e7a2b6
hexe3c4b70

238832496 has 80 divisors (see below), whose sum is σ = 783481600. Its totient is φ = 68236992.

The previous prime is 238832491. The next prime is 238832497. The reversal of 238832496 is 694238832.

238832496 is a `hidden beast` number, since 238 + 8 + 324 + 96 = 666.

238832496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2388324962 = 114081922291180032, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238832491) 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, 36466 + ... + 42513.

It is an arithmetic number, because the mean of its divisors is an integer number (9793520).

Almost surely, 2238832496 is an apocalyptic number.

It is an amenable number.

238832496 is an abundant number, since it is smaller than the sum of its proper divisors (544649104).

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

238832496 is a wasteful number, since it uses less digits than its factorization.

238832496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79003 (or 78991 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 238832496 is about 15454.2064176715. The cubic root of 238832496 is about 620.4371665308.

The spelling of 238832496 in words is "two hundred thirty-eight million, eight hundred thirty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 78979 157958 236937 315916 473874 552853 631832 710811 947748 1105706 1263664 1421622 1658559 1895496 2132433 2211412 2843244 3317118 3790992 4264866 4422824 4975677 5686488 6634236 8529732 8845648 9951354 11372976 13268472 14927031 17059464 19902708 26536944 29854062 34118928 39805416 59708124 79610832 119416248 238832496