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242441532 = 223321110639
BaseRepresentation
bin11100111001101…
…01110100111100
3121220012022021000
432130311310330
5444031112112
640020210300
76002501424
oct1634656474
9556168230
10242441532
11114940a03
1269239990
133b2c7238
14242ad484
151643e7dc
hexe735d3c

242441532 has 48 divisors (see below), whose sum is σ = 631590400. Its totient is φ = 80423280.

The previous prime is 242441531. The next prime is 242441533. The reversal of 242441532 is 235144242.

242441532 is a `hidden beast` number, since 242 + 4 + 415 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (242441531) and next prime (242441533).

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

It is a junction number, because it is equal to n+sod(n) for n = 242441496 and 242441505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242441531) 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 15 ways as a sum of consecutive naturals, for example, 17469 + ... + 28107.

Almost surely, 2242441532 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 242441532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315795200).

242441532 is an abundant number, since it is smaller than the sum of its proper divisors (389148868).

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

242441532 is a wasteful number, since it uses less digits than its factorization.

242441532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10863 (or 10855 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 242441532 is about 15570.5340948858. The cubic root of 242441532 is about 623.5467307393.

Adding to 242441532 its reverse (235144242), we get a palindrome (477585774).

It can be divided in two parts, 2424 and 41532, that added together give a triangular number (43956 = T296).

The spelling of 242441532 in words is "two hundred forty-two million, four hundred forty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 211 422 633 844 1266 1899 2532 3798 5697 7596 10639 11394 21278 22788 31917 42556 63834 95751 127668 191502 287253 383004 574506 1149012 2244829 4489658 6734487 8979316 13468974 20203461 26937948 40406922 60610383 80813844 121220766 242441532