Search a number
-
+
242523540532 = 227132922974947
BaseRepresentation
bin1110000111011110000…
…1111000110000110100
3212011222212211100211001
43201313201320300310
512433142011244112
6303225213053044
723343650036560
oct3416741706064
9764885740731
10242523540532
1193943241629
123b004787184
1319b40153990
14ba498aa6a0
156496786c57
hex3877878c34

242523540532 has 48 divisors (see below), whose sum is σ = 540370776960. Its totient is φ = 92634982272.

The previous prime is 242523540521. The next prime is 242523540533. The reversal of 242523540532 is 235045325242.

242523540532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242523540491 and 242523540500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242523540533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11476918 + ... + 11498029.

It is an arithmetic number, because the mean of its divisors is an integer number (11257724520).

Almost surely, 2242523540532 is an apocalyptic number.

It is an amenable number.

242523540532 is an abundant number, since it is smaller than the sum of its proper divisors (297847236428).

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

242523540532 is a wasteful number, since it uses less digits than its factorization.

242523540532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22975000 (or 22974998 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 37.

Adding to 242523540532 its reverse (235045325242), we get a palindrome (477568865774).

The spelling of 242523540532 in words is "two hundred forty-two billion, five hundred twenty-three million, five hundred forty thousand, five hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 29 52 58 91 116 182 203 364 377 406 754 812 1508 2639 5278 10556 22974947 45949894 91899788 160824629 298674311 321649258 597348622 643298516 666273463 1194697244 1332546926 2090720177 2665093852 4181440354 4663914241 8362880708 8661555019 9327828482 17323110038 18655656964 34646220076 60630885133 121261770266 242523540532