Search a number
-
+
2529989436 = 22313172833371
BaseRepresentation
bin1001011011001100…
…1001001100111100
320112022121210001110
42112303021030330
520140134130221
61055014242020
7116460361332
oct22663111474
96468553043
102529989436
111089127567
125a7356310
133141cc690
141a0019b52
15ec1a1776
hex96cc933c

2529989436 has 96 divisors (see below), whose sum is σ = 6757164288. Its totient is φ = 729861120.

The previous prime is 2529989417. The next prime is 2529989437. The reversal of 2529989436 is 6349899252.

2529989436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2529989437) 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, 748831 + ... + 752201.

It is an arithmetic number, because the mean of its divisors is an integer number (70387128).

Almost surely, 22529989436 is an apocalyptic number.

2529989436 is a gapful number since it is divisible by the number (26) 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 2529989436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378582144).

2529989436 is an abundant number, since it is smaller than the sum of its proper divisors (4227174852).

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

2529989436 is a wasteful number, since it uses less digits than its factorization.

2529989436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3691 (or 3689 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 57.

The square root of 2529989436 is about 50299.0003479194. Note that the first 3 decimals coincide. The cubic root of 2529989436 is about 1362.6141752762.

The spelling of 2529989436 in words is "two billion, five hundred twenty-nine million, nine hundred eighty-nine thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 283 442 566 663 849 884 1132 1326 1698 2652 3371 3396 3679 4811 6742 7358 9622 10113 11037 13484 14433 14716 19244 20226 22074 28866 40452 43823 44148 57307 57732 62543 87646 114614 125086 131469 171921 175292 187629 229228 250172 262938 343842 375258 525876 687684 744991 750516 953993 1489982 1907986 2234973 2861979 2979964 3815972 4469946 5723958 8939892 11447916 12401909 16217881 24803818 32435762 37205727 48653643 49607636 64871524 74411454 97307286 148822908 194614572 210832453 421664906 632497359 843329812 1264994718 2529989436