Search a number
-
+
4242420016 = 24192592211
BaseRepresentation
bin1111110011011110…
…0011000100110000
3101221122212021012021
43330313203010300
532142024420031
61540545441224
7210062655322
oct37467430460
911848767167
104242420016
11188780aa4a
129a4940214
13527c0bc03
142c3619612
1519c6ad511
hexfcde3130

4242420016 has 90 divisors (see below), whose sum is σ = 8866423212. Its totient is φ = 1966144320.

The previous prime is 4242419999. The next prime is 4242420089. The reversal of 4242420016 is 6100242424.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20106151 + ... + 20106361.

Almost surely, 24242420016 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 4242420016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433211606).

4242420016 is an abundant number, since it is smaller than the sum of its proper divisors (4624003196).

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

4242420016 is a wasteful number, since it uses less digits than its factorization.

4242420016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 4242420016 is about 65133.8622837614. The cubic root of 4242420016 is about 1618.8423391102.

The spelling of 4242420016 in words is "four billion, two hundred forty-two million, four hundred twenty thousand, sixteen".

Divisors: 1 2 4 8 16 19 38 59 76 118 152 211 236 304 361 422 472 722 844 944 1121 1444 1688 2242 2888 3376 3481 4009 4484 5776 6962 8018 8968 12449 13924 16036 17936 21299 24898 27848 32072 42598 49796 55696 64144 66139 76171 85196 99592 132278 152342 170392 199184 236531 264556 304684 340784 473062 529112 609368 734491 946124 1058224 1218736 1256641 1468982 1892248 2513282 2937964 3784496 4494089 5026564 5875928 8988178 10053128 11751856 13955329 17976356 20106256 27910658 35952712 55821316 71905424 111642632 223285264 265151251 530302502 1060605004 2121210008 4242420016