Search a number
-
+
1438235568 = 243371143237
BaseRepresentation
bin101010110111001…
…1011101110110000
310201020021221022000
41111232123232300
510421142014233
6354414214000
750432541420
oct12556335660
93636257260
101438235568
11678934740
123417b4300
1319bc78183
14d9026480
15863e8d13
hex55b9bbb0

1438235568 has 160 divisors (see below), whose sum is σ = 5147051520. Its totient is φ = 373559040.

The previous prime is 1438235567. The next prime is 1438235611. The reversal of 1438235568 is 8655328341.

1438235568 is a `hidden beast` number, since 1 + 4 + 3 + 82 + 3 + 5 + 568 = 666.

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 not an unprimeable number, because it can be changed into a prime (1438235567) 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, 11646 + ... + 54882.

It is an arithmetic number, because the mean of its divisors is an integer number (32169072).

Almost surely, 21438235568 is an apocalyptic number.

1438235568 is a gapful number since it is divisible by the number (18) 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 1438235568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573525760).

1438235568 is an abundant number, since it is smaller than the sum of its proper divisors (3708815952).

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

1438235568 is a wasteful number, since it uses less digits than its factorization.

1438235568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43272 (or 43260 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 1438235568 is about 37924.0763631759. The cubic root of 1438235568 is about 1128.7818255726.

It can be divided in two parts, 143 and 8235568, that added together give a triangular number (8235711 = T4058).

The spelling of 1438235568 in words is "one billion, four hundred thirty-eight million, two hundred thirty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2772 3024 3696 4158 4752 5544 8316 11088 16632 33264 43237 86474 129711 172948 259422 302659 345896 389133 475607 518844 605318 691792 778266 907977 951214 1037688 1167399 1210636 1426821 1556532 1815954 1902428 2075376 2334798 2421272 2723931 2853642 3113064 3329249 3631908 3804856 4280463 4669596 4842544 5447862 5707284 6226128 6658498 7263816 7609712 8171793 8560926 9339192 9987747 10895724 11414568 12841389 13316996 14527632 16343586 17121852 18678384 19975494 21791448 22829136 25682778 26633992 29963241 32687172 34243704 39950988 43582896 51365556 53267984 59926482 65374344 68487408 79901976 89889723 102731112 119852964 130748688 159803952 179779446 205462224 239705928 359558892 479411856 719117784 1438235568