Search a number
-
+
2535402324 = 2237134315387
BaseRepresentation
bin1001011100011111…
…0010101101010100
320112200210210010210
42113013302231110
520143030333244
61055330245420
7116554364340
oct22707625524
96480723123
102535402324
111091194324
125a9126870
13315376380
141a0a28620
15ec8c04b9
hex971f2b54

2535402324 has 96 divisors (see below), whose sum is σ = 7299403776. Its totient is φ = 667002240.

The previous prime is 2535402323. The next prime is 2535402341. The reversal of 2535402324 is 4232045352.

It is a junction number, because it is equal to n+sod(n) for n = 2535402291 and 2535402300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2535402323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467959 + ... + 473345.

It is an arithmetic number, because the mean of its divisors is an integer number (76035456).

Almost surely, 22535402324 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 2535402324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649701888).

2535402324 is an abundant number, since it is smaller than the sum of its proper divisors (4764001452).

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

2535402324 is a wasteful number, since it uses less digits than its factorization.

2535402324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5845 (or 5843 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 2535402324 is about 50352.7787118050. The cubic root of 2535402324 is about 1363.5852496994.

Adding to 2535402324 its reverse (4232045352), we get a palindrome (6767447676).

The spelling of 2535402324 in words is "two billion, five hundred thirty-five million, four hundred two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 431 546 862 1092 1293 1724 2586 3017 5172 5387 5603 6034 9051 10774 11206 12068 16161 16809 18102 21548 22412 32322 33618 36204 37709 39221 64644 67236 70031 75418 78442 113127 117663 140062 150836 156884 210093 226254 235326 280124 420186 452508 470652 490217 840372 980434 1470651 1960868 2321797 2941302 4643594 5882604 6965391 9287188 13930782 16252579 27861564 30183361 32505158 48757737 60366722 65010316 90550083 97515474 120733444 181100166 195030948 211283527 362200332 422567054 633850581 845134108 1267701162 2535402324