Search a number
-
+
238776876 = 223313198951
BaseRepresentation
bin11100011101101…
…11001000101100
3121122022010022000
432032313020230
5442111330001
635405452300
75626366332
oct1616671054
9548263260
10238776876
11112868668
1267b71090
133a6131c0
14239d7b52
1515e68a86
hexe3b722c

238776876 has 96 divisors (see below), whose sum is σ = 701836800. Its totient is φ = 69595200.

The previous prime is 238776859. The next prime is 238776877. The reversal of 238776876 is 678677832.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (238776877) 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, 22201 + ... + 31151.

It is an arithmetic number, because the mean of its divisors is an integer number (7310800).

Almost surely, 2238776876 is an apocalyptic number.

238776876 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238776876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350918400).

238776876 is an abundant number, since it is smaller than the sum of its proper divisors (463059924).

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

238776876 is a wasteful number, since it uses less digits than its factorization.

238776876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8996 (or 8988 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The square root of 238776876 is about 15452.4068028252. The cubic root of 238776876 is about 620.3889997264.

The spelling of 238776876 in words is "two hundred thirty-eight million, seven hundred seventy-six thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 108 114 117 156 171 228 234 247 342 351 468 494 513 684 702 741 988 1026 1404 1482 2052 2223 2964 4446 6669 8892 8951 13338 17902 26676 26853 35804 53706 80559 107412 116363 161118 170069 232726 241677 322236 340138 349089 465452 483354 510207 680276 698178 966708 1020414 1047267 1396356 1530621 2040828 2094534 2210897 3061242 3141801 4189068 4421794 4591863 6122484 6283602 6632691 8843588 9183726 12567204 13265382 18367452 19898073 26530764 39796146 59694219 79592292 119388438 238776876