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242540544 = 213371139
BaseRepresentation
bin11100111010011…
…10000000000000
3121220101100002010
432131032000000
5444042244134
640022252520
76003363201
oct1635160000
9556340063
10242540544
111149a9334
1269287140
133b33031c
14242d75a8
151645dce9
hexe74e000

242540544 has 112 divisors (see below), whose sum is σ = 660562560. Its totient is φ = 79134720.

The previous prime is 242540531. The next prime is 242540629. The reversal of 242540544 is 445045242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1744827 + ... + 1744965.

It is an arithmetic number, because the mean of its divisors is an integer number (5897880).

Almost surely, 2242540544 is an apocalyptic number.

242540544 is a gapful number since it is divisible by the number (24) 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 242540544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330281280).

242540544 is an abundant number, since it is smaller than the sum of its proper divisors (418022016).

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

242540544 is an equidigital number, since it uses as much as digits as its factorization.

242540544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 242540544 is about 15573.7132373753. The cubic root of 242540544 is about 623.6316037198.

Adding to 242540544 its reverse (445045242), we get a palindrome (687585786).

The spelling of 242540544 in words is "two hundred forty-two million, five hundred forty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 139 142 192 213 256 278 284 384 417 426 512 556 568 768 834 852 1024 1112 1136 1536 1668 1704 2048 2224 2272 3072 3336 3408 4096 4448 4544 6144 6672 6816 8192 8896 9088 9869 12288 13344 13632 17792 18176 19738 24576 26688 27264 29607 35584 36352 39476 53376 54528 59214 71168 72704 78952 106752 109056 118428 142336 145408 157904 213504 218112 236856 284672 290816 315808 427008 436224 473712 569344 581632 631616 854016 872448 947424 1138688 1263232 1708032 1744896 1894848 2526464 3416064 3789696 5052928 7579392 10105856 15158784 20211712 30317568 40423424 60635136 80846848 121270272 242540544