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238318848 = 28361277
BaseRepresentation
bin11100011010001…
…11010100000000
3121121102212000000
432031013110000
5442002200343
635352000000
75622451065
oct1615072400
9547385000
10238318848
11112585529
1267990000
133a4b2891
1423918c6c
1515dc7ed3
hexe347500

238318848 has 126 divisors (see below), whose sum is σ = 713792394. Its totient is φ = 79377408.

The previous prime is 238318837. The next prime is 238318849. The reversal of 238318848 is 848813832.

It can be written as a sum of positive squares in only one way, i.e., 215737344 + 22581504 = 14688^2 + 4752^2 .

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 (238318849) 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 13 ways as a sum of consecutive naturals, for example, 185986 + ... + 187262.

It is an arithmetic number, because the mean of its divisors is an integer number (5665019).

Almost surely, 2238318848 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 238318848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356896197).

238318848 is an abundant number, since it is smaller than the sum of its proper divisors (475473546).

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

238318848 is an frugal number, since it uses more digits than its factorization.

238318848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1282 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 238318848 is about 15437.5790848177. The cubic root of 238318848 is about 619.9920637208.

The spelling of 238318848 in words is "two hundred thirty-eight million, three hundred eighteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1277 1296 1458 1728 1944 2304 2554 2592 2916 3456 3831 3888 5108 5184 5832 6912 7662 7776 10216 10368 11493 11664 15324 15552 20432 20736 22986 23328 30648 31104 34479 40864 45972 46656 61296 62208 68958 81728 91944 93312 103437 122592 137916 163456 183888 186624 206874 245184 275832 310311 326912 367776 413748 490368 551664 620622 735552 827496 930933 980736 1103328 1241244 1471104 1654992 1861866 2206656 2482488 2942208 3309984 3723732 4413312 4964976 6619968 7447464 8826624 9929952 13239936 14894928 19859904 26479872 29789856 39719808 59579712 79439616 119159424 238318848