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242707444 = 227191014517
BaseRepresentation
bin11100111011101…
…10101111110100
3121220200211000121
432131312233310
5444113114234
640030021324
76004656610
oct1635665764
9556624017
10242707444
11115002771
1269347844
133b38b295
142433c340
15164934b4
hexe776bf4

242707444 has 48 divisors (see below), whose sum is σ = 516136320. Its totient is φ = 97545600.

The previous prime is 242707427. The next prime is 242707447. The reversal of 242707444 is 444707242.

242707444 is digitally balanced in base 3, 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 (242707447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51474 + ... + 55990.

It is an arithmetic number, because the mean of its divisors is an integer number (10752840).

Almost surely, 2242707444 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 242707444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258068160).

242707444 is an abundant number, since it is smaller than the sum of its proper divisors (273428876).

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

242707444 is a wasteful number, since it uses less digits than its factorization.

242707444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4648 (or 4646 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 34.

The square root of 242707444 is about 15579.0707039926. The cubic root of 242707444 is about 623.7746179523.

The spelling of 242707444 in words is "two hundred forty-two million, seven hundred seven thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 76 101 133 202 266 404 532 707 1414 1919 2828 3838 4517 7676 9034 13433 18068 26866 31619 53732 63238 85823 126476 171646 343292 456217 600761 912434 1201522 1824868 2403044 3193519 6387038 8668123 12774076 17336246 34672492 60676861 121353722 242707444