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4046243136 = 263132297079
BaseRepresentation
bin1111000100101100…
…1100010101000000
3101102222201110002220
43301023030111000
531241314240021
61505301011040
7202161333135
oct36113142500
911388643086
104046243136
111796aa93a1
1294b0b3a80
134c6392b10
142a555058c
1518a35bcc6
hexf12cc540

4046243136 has 112 divisors (see below), whose sum is σ = 11581180800. Its totient is φ = 1239386112.

The previous prime is 4046243119. The next prime is 4046243141. The reversal of 4046243136 is 6313426404.

It is a super-2 number, since 2×40462431362 = 32744167031254228992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4046243097 and 4046243106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568045 + ... + 575123.

It is an arithmetic number, because the mean of its divisors is an integer number (103403400).

Almost surely, 24046243136 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 4046243136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5790590400).

4046243136 is an abundant number, since it is smaller than the sum of its proper divisors (7534937664).

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

4046243136 is a wasteful number, since it uses less digits than its factorization.

4046243136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7336 (or 7326 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 4046243136 is about 63610.0867473076. The cubic root of 4046243136 is about 1593.4948292313.

The spelling of 4046243136 in words is "four billion, forty-six million, two hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 229 312 416 458 624 687 832 916 1248 1374 1832 2496 2748 2977 3664 5496 5954 7079 7328 8931 10992 11908 14158 14656 17862 21237 21984 23816 28316 35724 42474 43968 47632 56632 71448 84948 92027 95264 113264 142896 169896 184054 190528 226528 276081 285792 339792 368108 453056 552162 571584 679584 736216 1104324 1359168 1472432 1621091 2208648 2944864 3242182 4417296 4863273 5889728 6484364 8834592 9726546 12968728 17669184 19453092 21074183 25937456 38906184 42148366 51874912 63222549 77812368 84296732 103749824 126445098 155624736 168593464 252890196 311249472 337186928 505780392 674373856 1011560784 1348747712 2023121568 4046243136