Search a number
-
+
4253033106 = 2327217299781
BaseRepresentation
bin1111110110000000…
…0010001010010010
3101222101211110121200
43331200002022102
532202234024411
61542005132030
7210252120300
oct37540021222
911871743550
104253033106
1118927a97a3
129a83ba016
1352a18684a
142c4bbd270
1519d5a7e56
hexfd802292

4253033106 has 144 divisors (see below), whose sum is σ = 11742508440. Its totient is φ = 1104122880.

The previous prime is 4253033041. The next prime is 4253033107. The reversal of 4253033106 is 6013303524.

It is a happy number.

4253033106 is a `hidden beast` number, since 42 + 5 + 303 + 310 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3955781025 + 297252081 = 62895^2 + 17241^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4253033106.

It is not an unprimeable number, because it can be changed into a prime (4253033107) 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 71 ways as a sum of consecutive naturals, for example, 429936 + ... + 439716.

Almost surely, 24253033106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4253033106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5871254220).

4253033106 is an abundant number, since it is smaller than the sum of its proper divisors (7489475334).

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

4253033106 is a wasteful number, since it uses less digits than its factorization.

4253033106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9849 (or 9839 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 4253033106 is about 65215.2827640884. The cubic root of 4253033106 is about 1620.1911457126.

The spelling of 4253033106 in words is "four billion, two hundred fifty-three million, thirty-three thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 17 18 21 29 34 42 49 51 58 63 87 98 102 119 126 147 153 174 203 238 261 294 306 357 406 441 493 522 609 714 833 882 986 1071 1218 1421 1479 1666 1827 2142 2499 2842 2958 3451 3654 4263 4437 4998 6902 7497 8526 8874 9781 10353 12789 14994 19562 20706 24157 25578 29343 31059 48314 58686 62118 68467 72471 88029 136934 144942 166277 176058 205401 217413 283649 332554 410802 434826 479269 498831 567298 616203 850947 958538 997662 1163939 1232406 1437807 1496493 1701894 1985543 2327878 2552841 2875614 2992986 3491817 3971086 4313421 4822033 5105682 5956629 6983634 8147573 8626842 9644066 10475451 11913258 13898801 14466099 16295146 17869887 20950902 24442719 27797602 28932198 33754231 35739774 41696403 43398297 48885438 67508462 73328157 83392806 86796594 101262693 125089209 146656314 202525386 236279617 250178418 303788079 472559234 607576158 708838851 1417677702 2126516553 4253033106