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4013250642 = 23219411571823
BaseRepresentation
bin1110111100110101…
…0101100001010010
3101100200122020220200
43233031111201102
531204343010032
61502121520030
7201311032122
oct35715254122
911320566820
104013250642
11177a414675
12940043016
134bc5b0a2b
142a1002c82
151874e147c
hexef355852

4013250642 has 96 divisors (see below), whose sum is σ = 9441169920. Its totient is φ = 1227882240.

The previous prime is 4013250629. The next prime is 4013250649. The reversal of 4013250642 is 2460523104.

4013250642 is a `hidden beast` number, since 4 + 0 + 13 + 2 + 5 + 0 + 642 = 666.

It is a super-2 number, since 2×40132506422 = 32212361431026824328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4013250649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2200543 + ... + 2202365.

It is an arithmetic number, because the mean of its divisors is an integer number (98345520).

Almost surely, 24013250642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013250642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4720584960).

4013250642 is an abundant number, since it is smaller than the sum of its proper divisors (5427919278).

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

4013250642 is a wasteful number, since it uses less digits than its factorization.

4013250642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2045 counting only the distinct ones).

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

The square root of 4013250642 is about 63350.2221148434. Note that the first 3 decimals coincide. The cubic root of 4013250642 is about 1589.1519602550.

Adding to 4013250642 its reverse (2460523104), we get a palindrome (6473773746).

The spelling of 4013250642 in words is "four billion, thirteen million, two hundred fifty thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 41 57 82 114 123 157 171 246 314 342 369 471 738 779 942 1413 1558 1823 2337 2826 2983 3646 4674 5469 5966 6437 7011 8949 10938 12874 14022 16407 17898 19311 26847 32814 34637 38622 53694 57933 69274 74743 103911 115866 122303 149486 207822 224229 244606 286211 311733 366909 448458 572422 623466 672687 733818 858633 1100727 1345374 1420117 1717266 2201454 2575899 2840234 4260351 5151798 5438009 8520702 10876018 11734651 12781053 16314027 23469302 25562106 32628054 35203953 48942081 70407906 97884162 105611859 211223718 222958369 445916738 668875107 1337750214 2006625321 4013250642