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4261246336 = 27433312339
BaseRepresentation
bin1111110111111101…
…0111010110000000
3101222222021202001101
43331333113112000
532211334340321
61542501144144
7210411665464
oct37577272600
911888252041
104261246336
1118973a9496
129ab0bb054
1352baa1049
142c5d1a4a4
1519e17b791
hexfdfd7580

4261246336 has 64 divisors (see below), whose sum is σ = 8716593600. Its totient is φ = 2073899520.

The previous prime is 4261246331. The next prime is 4261246343. The reversal of 4261246336 is 6336421624.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 4261246295 and 4261246304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4261246331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1820655 + ... + 1822993.

It is an arithmetic number, because the mean of its divisors is an integer number (136196775).

Almost surely, 24261246336 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 4261246336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358296800).

4261246336 is an abundant number, since it is smaller than the sum of its proper divisors (4455347264).

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

4261246336 is a wasteful number, since it uses less digits than its factorization.

4261246336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2715 counting only the distinct ones).

The product of its digits is 124416, while the sum is 37.

The square root of 4261246336 is about 65278.2225248206. Note that the first 3 decimals coincide. The cubic root of 4261246336 is about 1621.2334172278.

The spelling of 4261246336 in words is "four billion, two hundred sixty-one million, two hundred forty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 331 344 662 688 1324 1376 2339 2648 2752 4678 5296 5504 9356 10592 14233 18712 21184 28466 37424 42368 56932 74848 100577 113864 149696 201154 227728 299392 402308 455456 774209 804616 910912 1548418 1609232 1821824 3096836 3218464 6193672 6436928 12387344 12873856 24774688 33290987 49549376 66581974 99098752 133163948 266327896 532655792 1065311584 2130623168 4261246336