Search a number
-
+
5050305234 = 2331353149911
BaseRepresentation
bin1001011010000010…
…11000101011010010
3111000222001002101000
410231001120223102
540320334231414
62153045322430
7236102612652
oct45501305322
914028032330
105050305234
112161847087
12b8b406416
136263c2bc0
1435ca38362
151e8591b09
hex12d058ad2

5050305234 has 128 divisors (see below), whose sum is σ = 12410496000. Its totient is φ = 1512725760.

The previous prime is 5050305179. The next prime is 5050305251. The reversal of 5050305234 is 4325030505.

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

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 5050305198 and 5050305207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5543239 + ... + 5544149.

It is an arithmetic number, because the mean of its divisors is an integer number (96957000).

Almost surely, 25050305234 is an apocalyptic number.

5050305234 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5050305234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205248000).

5050305234 is an abundant number, since it is smaller than the sum of its proper divisors (7360190766).

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

5050305234 is a wasteful number, since it uses less digits than its factorization.

5050305234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 5050305234 is about 71065.4996042383. The cubic root of 5050305234 is about 1715.6915370534.

Adding to 5050305234 its reverse (4325030505), we get a palindrome (9375335739).

The spelling of 5050305234 in words is "five billion, fifty million, three hundred five thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 53 54 78 106 117 149 159 234 298 318 351 447 477 689 702 894 911 954 1341 1378 1431 1822 1937 2067 2682 2733 2862 3874 4023 4134 5466 5811 6201 7897 8046 8199 11622 11843 12402 15794 16398 17433 18603 23686 23691 24597 34866 35529 37206 47382 48283 49194 52299 71058 71073 96566 102661 104598 106587 135739 142146 144849 205322 213174 213219 271478 289698 307983 319761 407217 426438 434547 615966 627679 639522 814434 869094 923949 1221651 1255358 1303641 1764607 1847898 1883037 2443302 2607282 2771847 3529214 3664953 3766074 5293821 5543694 5649111 7194167 7329906 10587642 11298222 14388334 15881463 16947333 21582501 31762926 33894666 43165002 47644389 64747503 93524171 95288778 129495006 187048342 194242509 280572513 388485018 561145026 841717539 1683435078 2525152617 5050305234