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4242383488 = 27723415021
BaseRepresentation
bin1111110011011101…
…1010001010000000
3101221122210102002101
43330313122022000
532142022232423
61540545000144
7210062443660
oct37467321200
911848712071
104242383488
111887795562
129a4923054
13527bc83b5
142c360a1a0
1519c6a27ad
hexfcdda280

4242383488 has 128 divisors (see below), whose sum is σ = 10326839040. Its totient is φ = 1696358400.

The previous prime is 4242383437. The next prime is 4242383489. The reversal of 4242383488 is 8843832424.

4242383488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×42423834883 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (4242383489) 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, 842418 + ... + 847438.

It is an arithmetic number, because the mean of its divisors is an integer number (80678430).

Almost surely, 24242383488 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 4242383488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163419520).

4242383488 is an abundant number, since it is smaller than the sum of its proper divisors (6084455552).

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

4242383488 is a wasteful number, since it uses less digits than its factorization.

4242383488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5106 (or 5094 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 46.

The square root of 4242383488 is about 65133.5818760185. The cubic root of 4242383488 is about 1618.8376929223.

The spelling of 4242383488 in words is "four billion, two hundred forty-two million, three hundred eighty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 41 46 56 64 82 92 112 128 161 164 184 224 287 322 328 368 448 574 644 656 736 896 943 1148 1288 1312 1472 1886 2296 2576 2624 2944 3772 4592 5021 5152 5248 6601 7544 9184 10042 10304 13202 15088 18368 20084 20608 26404 30176 35147 36736 40168 52808 60352 70294 80336 105616 115483 120704 140588 160672 205861 211232 230966 281176 321344 411722 422464 461932 562352 642688 808381 823444 844928 923864 1124704 1441027 1616762 1646888 1847728 2249408 2882054 3233524 3293776 3695456 4498816 4734803 5764108 6467048 6587552 7390912 9469606 11528216 12934096 13175104 14781824 18939212 23056432 25868192 26350208 33143621 37878424 46112864 51736384 66287242 75756848 92225728 103472768 132574484 151513696 184451456 265148968 303027392 530297936 606054784 1060595872 2121191744 4242383488