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242000444 = 227831011031
BaseRepresentation
bin11100110110010…
…10001000111100
3121212100220012102
432123022020330
5443423003234
640002524232
75665653440
oct1633121074
9555326172
10242000444
1111466a574
1269066678
133b1a153a
14241d6820
15163a3c7e
hexe6ca23c

242000444 has 48 divisors (see below), whose sum is σ = 495161856. Its totient is φ = 101352000.

The previous prime is 242000443. The next prime is 242000459. The reversal of 242000444 is 444000242.

242000444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242000441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234209 + ... + 235239.

It is an arithmetic number, because the mean of its divisors is an integer number (10315872).

Almost surely, 2242000444 is an apocalyptic number.

It is an amenable number.

242000444 is an abundant number, since it is smaller than the sum of its proper divisors (253161412).

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

242000444 is a wasteful number, since it uses less digits than its factorization.

242000444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 242000444 is about 15556.3634567980. The cubic root of 242000444 is about 623.1683495477.

Adding to 242000444 its reverse (444000242), we get a palindrome (686000686).

The spelling of 242000444 in words is "two hundred forty-two million, four hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 83 101 166 202 332 404 581 707 1031 1162 1414 2062 2324 2828 4124 7217 8383 14434 16766 28868 33532 58681 85573 104131 117362 171146 208262 234724 342292 416524 599011 728917 1198022 1457834 2396044 2915668 8642873 17285746 34571492 60500111 121000222 242000444