Search a number
-
+
4242086520 = 2335747107449
BaseRepresentation
bin1111110011011001…
…0001101001111000
3101221122020022201120
43330312101221320
532141433232040
61540534345240
7210060066120
oct37466215170
911848208646
104242086520
111887602431
129a47bb220
13527b23189
142c356dc80
1519c6447d0
hexfcd91a78

4242086520 has 128 divisors (see below), whose sum is σ = 14853888000. Its totient is φ = 948980736.

The previous prime is 4242086501. The next prime is 4242086521. The reversal of 4242086520 is 256802424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242086521) 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, 14245 + ... + 93204.

It is an arithmetic number, because the mean of its divisors is an integer number (116046000).

Almost surely, 24242086520 is an apocalyptic number.

4242086520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242086520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7426944000).

4242086520 is an abundant number, since it is smaller than the sum of its proper divisors (10611801480).

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

4242086520 is a wasteful number, since it uses less digits than its factorization.

4242086520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107517 (or 107513 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 4242086520 is about 65131.3021518839. The cubic root of 4242086520 is about 1618.7999190143.

Adding to 4242086520 its reverse (256802424), we get a palindrome (4498888944).

The spelling of 4242086520 in words is "four billion, two hundred forty-two million, eighty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 47 56 60 70 84 94 105 120 140 141 168 188 210 235 280 282 329 376 420 470 564 658 705 840 940 987 1128 1316 1410 1645 1880 1974 2632 2820 3290 3948 4935 5640 6580 7896 9870 13160 19740 39480 107449 214898 322347 429796 537245 644694 752143 859592 1074490 1289388 1504286 1611735 2148980 2256429 2578776 3008572 3223470 3760715 4297960 4512858 5050103 6017144 6446940 7521430 9025716 10100206 11282145 12893880 15042860 15150309 18051432 20200412 22564290 25250515 30085720 30300618 35350721 40400824 45128580 50501030 60601236 70701442 75751545 90257160 101002060 106052163 121202472 141402884 151503090 176753605 202004120 212104326 282805768 303006180 353507210 424208652 530260815 606012360 707014420 848417304 1060521630 1414028840 2121043260 4242086520