Search a number
-
+
4235203152 = 243329834073
BaseRepresentation
bin1111110001110000…
…0001001001010000
3101221011021121112000
43330130001021100
532133203000102
61540131034000
7206644430025
oct37434011120
911834247460
104235203152
1118837308a4
129a243b900
1352658308b
142c269b54c
1519bc3501c
hexfc701250

4235203152 has 160 divisors (see below), whose sum is σ = 12730435200. Its totient is φ = 1346300928.

The previous prime is 4235203103. The next prime is 4235203157. The reversal of 4235203152 is 2513025324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4235203157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1037788 + ... + 1041860.

It is an arithmetic number, because the mean of its divisors is an integer number (79565220).

Almost surely, 24235203152 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 4235203152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6365217600).

4235203152 is an abundant number, since it is smaller than the sum of its proper divisors (8495232048).

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

4235203152 is a wasteful number, since it uses less digits than its factorization.

4235203152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4190 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 4235203152 is about 65078.4384569882. The cubic root of 4235203152 is about 1617.9238699402.

Adding to 4235203152 its reverse (2513025324), we get a palindrome (6748228476).

The spelling of 4235203152 in words is "four billion, two hundred thirty-five million, two hundred three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 83 87 108 116 144 166 174 216 232 249 261 332 348 432 464 498 522 664 696 747 783 996 1044 1328 1392 1494 1566 1992 2088 2241 2407 2988 3132 3984 4073 4176 4482 4814 5976 6264 7221 8146 8964 9628 11952 12219 12528 14442 16292 17928 19256 21663 24438 28884 32584 35856 36657 38512 43326 48876 57768 64989 65168 73314 86652 97752 109971 115536 118117 129978 146628 173304 195504 219942 236234 259956 293256 338059 346608 354351 439884 472468 519912 586512 676118 708702 879768 944936 1014177 1039824 1063053 1352236 1417404 1759536 1889872 2028354 2126106 2704472 2834808 3042531 3189159 4056708 4252212 5408944 5669616 6085062 6378318 8113416 8504424 9127593 9803711 12170124 12756636 16226832 17008848 18255186 19607422 24340248 25513272 29411133 36510372 39214844 48680496 51026544 58822266 73020744 78429688 88233399 117644532 146041488 156859376 176466798 235289064 264700197 352933596 470578128 529400394 705867192 1058800788 1411734384 2117601576 4235203152