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242524256 = 25135711021
BaseRepresentation
bin11100111010010…
…10000001100000
3121220100111201212
432131022001200
5444041234011
640022045252
76003264542
oct1635120140
9556314655
10242524256
11114998077
1269279828
133b325aa0
14242d1692
151645908b
hexe74a060

242524256 has 48 divisors (see below), whose sum is σ = 515603088. Its totient is φ = 111628800.

The previous prime is 242524241. The next prime is 242524267. The reversal of 242524256 is 652425242.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237026 + ... + 238046.

It is an arithmetic number, because the mean of its divisors is an integer number (10741731).

Almost surely, 2242524256 is an apocalyptic number.

242524256 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 242524256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257801544).

242524256 is an abundant number, since it is smaller than the sum of its proper divisors (273078832).

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

242524256 is a wasteful number, since it uses less digits than its factorization.

242524256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1607 counting only the distinct ones).

The product of its digits is 38400, while the sum is 32.

The square root of 242524256 is about 15573.1902961468. The cubic root of 242524256 is about 623.6176432512.

Adding to 242524256 its reverse (652425242), we get a palindrome (894949498).

The spelling of 242524256 in words is "two hundred forty-two million, five hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 571 1021 1142 2042 2284 4084 4568 7423 8168 9136 13273 14846 16336 18272 26546 29692 32672 53092 59384 106184 118768 212368 237536 424736 582991 1165982 2331964 4663928 7578883 9327856 15157766 18655712 30315532 60631064 121262128 242524256