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4242423324 = 22323731931091
BaseRepresentation
bin1111110011011110…
…0011111000011100
3101221122212102201210
43330313203320130
532142030021244
61540545504420
7210063001056
oct37467437034
911848772653
104242423324
111887812487
129a4942110
13527c10579
142c361a8d6
1519c6ae4b9
hexfcde3e1c

4242423324 has 96 divisors (see below), whose sum is σ = 10534777344. Its totient is φ = 1325998080.

The previous prime is 4242423323. The next prime is 4242423391. The reversal of 4242423324 is 4233242424.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4242423291 and 4242423300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242423323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3888019 + ... + 3889109.

It is an arithmetic number, because the mean of its divisors is an integer number (109737264).

Almost surely, 24242423324 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 4242423324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5267388672).

4242423324 is an abundant number, since it is smaller than the sum of its proper divisors (6292354020).

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

4242423324 is a wasteful number, since it uses less digits than its factorization.

4242423324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1385 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

The square root of 4242423324 is about 65133.8876776137. The cubic root of 4242423324 is about 1618.8427598708.

Adding to 4242423324 its reverse (4233242424), we get a palindrome (8475665748).

Subtracting from 4242423324 its reverse (4233242424), we obtain a square (9180900 = 30302).

The spelling of 4242423324 in words is "four billion, two hundred forty-two million, four hundred twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 46 69 73 92 138 146 193 219 276 292 386 438 579 772 876 1091 1158 1679 2182 2316 3273 3358 4364 4439 5037 6546 6716 8878 10074 13092 13317 14089 17756 20148 25093 26634 28178 42267 50186 53268 56356 75279 79643 84534 100372 150558 159286 169068 210563 238929 301116 318572 324047 421126 477858 631689 648094 842252 955716 972141 1263378 1296188 1831789 1944282 2526756 3663578 3888564 4842949 5495367 7327156 9685898 10990734 14528847 15371099 19371796 21981468 29057694 30742198 46113297 58115388 61484396 92226594 184453188 353535277 707070554 1060605831 1414141108 2121211662 4242423324