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4030512642 = 2331337915149
BaseRepresentation
bin1111000000111100…
…1011111000000010
3101101220010020221000
43300033023320002
531223302401032
61503535512430
7201610535502
oct36017137002
911356106830
104030512642
111789134892
12945988716
134c3045b30
142a3417a02
15188ca0e7c
hexf03cbe02

4030512642 has 64 divisors (see below), whose sum is σ = 9671760000. Its totient is φ = 1236803904.

The previous prime is 4030512641. The next prime is 4030512659. The reversal of 4030512642 is 2462150304.

4030512642 is a `hidden beast` number, since 4 + 0 + 3 + 0 + 5 + 12 + 642 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4030512641) 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, 258484 + ... + 273632.

It is an arithmetic number, because the mean of its divisors is an integer number (151121250).

Almost surely, 24030512642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4030512642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4835880000).

4030512642 is an abundant number, since it is smaller than the sum of its proper divisors (5641247358).

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

4030512642 is a wasteful number, since it uses less digits than its factorization.

4030512642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15552 (or 15546 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4030512642 is about 63486.3185418717. The cubic root of 4030512642 is about 1591.4271486861.

Adding to 4030512642 its reverse (2462150304), we get a palindrome (6492662946).

The spelling of 4030512642 in words is "four billion, thirty million, five hundred twelve thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 379 702 758 1137 2274 3411 4927 6822 9854 10233 14781 15149 20466 29562 30298 44343 45447 88686 90894 133029 136341 196937 266058 272682 393874 409023 590811 818046 1181622 1772433 3544866 5317299 5741471 10634598 11482942 17224413 34448826 51673239 74639123 103346478 149278246 155019717 223917369 310039434 447834738 671752107 1343504214 2015256321 4030512642