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4042501152 = 253103463883
BaseRepresentation
bin1111000011110011…
…1010110000100000
3101102201200100001220
43300330322300200
531234340014102
61505044455040
7202114456434
oct36074726040
911381610056
104042501152
111794982a48
129499aa480
134c5682821
142a4c589c4
15189d6d1bc
hexf0f3ac20

4042501152 has 96 divisors (see below), whose sum is σ = 10749892608. Its totient is φ = 1330027776.

The previous prime is 4042501147. The next prime is 4042501219. The reversal of 4042501152 is 2511052404.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4577703 + ... + 4578585.

It is an arithmetic number, because the mean of its divisors is an integer number (111978048).

Almost surely, 24042501152 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 4042501152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5374946304).

4042501152 is an abundant number, since it is smaller than the sum of its proper divisors (6707391456).

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

4042501152 is a wasteful number, since it uses less digits than its factorization.

4042501152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 4042501152 is about 63580.6664954057. Note that the first 3 decimals coincide. The cubic root of 4042501152 is about 1593.0034539769.

Adding to 4042501152 its reverse (2511052404), we get a palindrome (6553553556).

The spelling of 4042501152 in words is "four billion, forty-two million, five hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 463 618 824 883 926 1236 1389 1648 1766 1852 2472 2649 2778 3296 3532 3704 4944 5298 5556 7064 7408 9888 10596 11112 14128 14816 21192 22224 28256 42384 44448 47689 84768 90949 95378 143067 181898 190756 272847 286134 363796 381512 408829 545694 572268 727592 763024 817658 1091388 1144536 1226487 1455184 1526048 1635316 2182776 2289072 2452974 2910368 3270632 4365552 4578144 4905948 6541264 8731104 9811896 13082528 19623792 39247584 42109387 84218774 126328161 168437548 252656322 336875096 505312644 673750192 1010625288 1347500384 2021250576 4042501152