Search a number
-
+
238781952 = 293323751
BaseRepresentation
bin11100011101110…
…00011000000000
3121122022101021000
432032320120000
5442112010302
635405532000
75626420203
oct1616703000
9548271230
10238781952
11112871462
1267b74000
133a6155c6
14239d993a
1515e6a31c
hexe3b8600

238781952 has 160 divisors (see below), whose sum is σ = 738524160. Its totient is φ = 76032000.

The previous prime is 238781947. The next prime is 238781989. The reversal of 238781952 is 259187832.

It is a happy number.

238781952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 238781898 and 238781907.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 317577 + ... + 318327.

It is an arithmetic number, because the mean of its divisors is an integer number (4615776).

Almost surely, 2238781952 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 238781952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369262080).

238781952 is an abundant number, since it is smaller than the sum of its proper divisors (499742208).

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

238781952 is an equidigital number, since it uses as much as digits as its factorization.

238781952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 779 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 238781952 is about 15452.5710482107. The cubic root of 238781952 is about 620.3933958420.

The spelling of 238781952 in words is "two hundred thirty-eight million, seven hundred eighty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 512 552 576 621 736 751 768 828 864 1104 1152 1242 1472 1502 1536 1656 1728 2208 2253 2304 2484 2944 3004 3312 3456 4416 4506 4608 4968 5888 6008 6624 6759 6912 8832 9012 9936 11776 12016 13248 13518 13824 17273 17664 18024 19872 20277 24032 26496 27036 34546 35328 36048 39744 40554 48064 51819 52992 54072 69092 72096 79488 81108 96128 103638 105984 108144 138184 144192 155457 158976 162216 192256 207276 216288 276368 288384 310914 317952 324432 384512 414552 432576 466371 552736 576768 621828 648864 829104 865152 932742 1105472 1153536 1243656 1297728 1658208 1730304 1865484 2210944 2487312 2595456 3316416 3460608 3730968 4421888 4974624 5190912 6632832 7461936 8843776 9949248 10381824 13265664 14923872 19898496 26531328 29847744 39796992 59695488 79593984 119390976 238781952