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4242265160 = 235732411283
BaseRepresentation
bin1111110011011011…
…1101010001001000
3101221122120101202212
43330312331101020
532142004441120
61540542244252
7210061442000
oct37466752110
911848511685
104242265160
111887714671
129a4886688
13527b86593
142c35b9000
1519c67c6c5
hexfcdbd448

4242265160 has 128 divisors (see below), whose sum is σ = 11186208000. Its totient is φ = 1447326720.

The previous prime is 4242265151. The next prime is 4242265163. The reversal of 4242265160 is 615622424.

It is not an unprimeable number, because it can be changed into a prime (4242265163) 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, 3305879 + ... + 3307161.

It is an arithmetic number, because the mean of its divisors is an integer number (87392250).

Almost surely, 24242265160 is an apocalyptic number.

4242265160 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 4242265160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5593104000).

4242265160 is an abundant number, since it is smaller than the sum of its proper divisors (6943942840).

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

4242265160 is a wasteful number, since it uses less digits than its factorization.

4242265160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 4242265160 is about 65132.6735210524. The cubic root of 4242265160 is about 1618.8226419800.

Adding to 4242265160 its reverse (615622424), we get a palindrome (4857887584).

The spelling of 4242265160 in words is "four billion, two hundred forty-two million, two hundred sixty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 241 245 280 343 392 482 490 686 964 980 1205 1283 1372 1687 1715 1928 1960 2410 2566 2744 3374 3430 4820 5132 6415 6748 6860 8435 8981 9640 10264 11809 12830 13496 13720 16870 17962 23618 25660 33740 35924 44905 47236 51320 59045 62867 67480 71848 82663 89810 94472 118090 125734 165326 179620 236180 251468 309203 314335 330652 359240 413315 440069 472360 502936 618406 628670 661304 826630 880138 1236812 1257340 1546015 1653260 1760276 2164421 2200345 2473624 2514680 3092030 3306520 3520552 4328842 4400690 6184060 8657684 8801380 10822105 12368120 15150947 17315368 17602760 21644210 30301894 43288420 60603788 75754735 86576840 106056629 121207576 151509470 212113258 303018940 424226516 530283145 606037880 848453032 1060566290 2121132580 4242265160