Search a number
-
+
4253023242 = 2321322389683
BaseRepresentation
bin1111110101111111…
…1111110000001010
3101222101210222002100
43331133333300022
532202233220432
61542005014230
7210252046446
oct37537776012
911871728070
104253023242
1118927a2346
129a83b4376
1352a182200
142c4bb9826
1519d5a507c
hexfd7ffc0a

4253023242 has 144 divisors (see below), whose sum is σ = 10544489280. Its totient is φ = 1235849472.

The previous prime is 4253023183. The next prime is 4253023249. The reversal of 4253023242 is 2423203524.

It is a happy number.

4253023242 is a `hidden beast` number, since 425 + 3 + 0 + 232 + 4 + 2 = 666.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (4253023249) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6226633 + ... + 6227315.

It is an arithmetic number, because the mean of its divisors is an integer number (73225620).

Almost surely, 24253023242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4253023242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272244640).

4253023242 is an abundant number, since it is smaller than the sum of its proper divisors (6291466038).

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

4253023242 is a wasteful number, since it uses less digits than its factorization.

4253023242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 4253023242 is about 65215.2071375994. The cubic root of 4253023242 is about 1620.1898931495.

Adding to 4253023242 its reverse (2423203524), we get a palindrome (6676226766).

The spelling of 4253023242 in words is "four billion, two hundred fifty-three million, twenty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 89 117 138 169 178 207 234 267 299 338 414 507 534 598 683 801 897 1014 1157 1366 1521 1602 1794 2047 2049 2314 2691 3042 3471 3887 4094 4098 5382 6141 6147 6942 7774 8879 10413 11661 12282 12294 15041 15709 17758 18423 20826 23322 26611 26637 30082 31418 34983 36846 45123 47127 53222 53274 60787 69966 79833 79911 90246 94254 115427 121574 135369 141381 159666 159822 182361 204217 230854 239499 270738 282762 345943 346281 364722 408434 478998 547083 612651 691886 692562 790231 1037829 1038843 1094166 1225302 1398101 1580462 1837953 2075658 2077686 2370693 2654821 2796202 3113487 3675906 4194303 4741386 5309642 6226974 7112079 7964463 8388606 10273003 12582909 14224158 15928926 18175313 20546006 23893389 25165818 30819009 36350626 47786778 54525939 61638018 92457027 109051878 163577817 184914054 236279069 327155634 472558138 708837207 1417674414 2126511621 4253023242