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242504444 = 227133121491
BaseRepresentation
bin11100111010001…
…01001011111100
3121220022111120002
432131011023330
5444040120234
640021413432
76003153020
oct1635051374
9556274502
10242504444
111149841a6
126926a278
133b319a70
14242c8380
151645327e
hexe7452fc

242504444 has 48 divisors (see below), whose sum is σ = 539191296. Its totient is φ = 92836800.

The previous prime is 242504419. The next prime is 242504447. The reversal of 242504444 is 444405242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242504447) 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, 539 + ... + 22029.

It is an arithmetic number, because the mean of its divisors is an integer number (11233152).

Almost surely, 2242504444 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 242504444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269595648).

242504444 is an abundant number, since it is smaller than the sum of its proper divisors (296686852).

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

242504444 is a wasteful number, since it uses less digits than its factorization.

242504444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21546 (or 21544 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 29.

The square root of 242504444 is about 15572.5541899844. The cubic root of 242504444 is about 623.6006615144.

Adding to 242504444 its reverse (444405242), we get a palindrome (686909686).

The spelling of 242504444 in words is "two hundred forty-two million, five hundred four thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 182 217 364 403 434 806 868 1612 2821 5642 11284 21491 42982 85964 150437 279383 300874 558766 601748 666221 1117532 1332442 1955681 2664884 3911362 4663547 7822724 8660873 9327094 17321746 18654188 34643492 60626111 121252222 242504444