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4241060096 = 28713307593
BaseRepresentation
bin1111110011001001…
…0111000100000000
3101221120022011201212
43330302113010000
532141202410341
61540500345252
7210045262460
oct37462270400
911846264655
104241060096
111886a71249
129a43a5228
13527853c20
142c3383ba0
1519c4e05eb
hexfcc97100

4241060096 has 144 divisors (see below), whose sum is σ = 10470708864. Its totient is φ = 1669496832.

The previous prime is 4241060071. The next prime is 4241060143. The reversal of 4241060096 is 6900601424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 16.

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, 7151576 + ... + 7152168.

It is an arithmetic number, because the mean of its divisors is an integer number (72713256).

Almost surely, 24241060096 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 4241060096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5235354432).

4241060096 is an abundant number, since it is smaller than the sum of its proper divisors (6229648768).

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

4241060096 is a wasteful number, since it uses less digits than its factorization.

4241060096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 4241060096 is about 65123.4220231093. The cubic root of 4241060096 is about 1618.6693457606.

The spelling of 4241060096 in words is "four billion, two hundred forty-one million, sixty thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 307 364 416 448 593 614 728 832 896 1186 1228 1456 1664 1792 2149 2372 2456 2912 3328 3991 4151 4298 4744 4912 5824 7709 7982 8302 8596 9488 9824 11648 15418 15964 16604 17192 18976 19648 23296 27937 30836 31928 33208 34384 37952 39296 53963 55874 61672 63856 66416 68768 75904 78592 107926 111748 123344 127712 132832 137536 151808 182051 215852 223496 246688 255424 265664 275072 364102 431704 446992 493376 510848 531328 550144 728204 863408 893984 986752 1021696 1062656 1274357 1456408 1726816 1787968 1973504 2366663 2548714 2912816 3453632 3575936 4733326 5097428 5825632 6907264 7151872 9466652 10194856 11651264 13814528 16566641 18933304 20389712 23302528 33133282 37866608 40779424 46605056 66266564 75733216 81558848 132533128 151466432 163117696 265066256 302932864 326235392 530132512 605865728 1060265024 2120530048 4241060096