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4241160072 = 2332235634549
BaseRepresentation
bin1111110011001010…
…1111011110001000
3101221120111020212200
43330302233132020
532141214110242
61540502440200
7210046160112
oct37462573610
911846436780
104241160072
11188702a376
129a4433060
1352788a596
142c33ac3b2
1519c51004c
hexfccaf788

4241160072 has 96 divisors (see below), whose sum is σ = 12009816000. Its totient is φ = 1349555328.

The previous prime is 4241160061. The next prime is 4241160073. The reversal of 4241160072 is 2700611424.

4241160072 is a `hidden beast` number, since 42 + 4 + 11 + 600 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (4241160073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 930054 + ... + 934602.

It is an arithmetic number, because the mean of its divisors is an integer number (125102250).

Almost surely, 24241160072 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 4241160072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6004908000).

4241160072 is an abundant number, since it is smaller than the sum of its proper divisors (7768655928).

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

4241160072 is a wasteful number, since it uses less digits than its factorization.

4241160072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5147 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4241160072 is about 65124.1896072419. The cubic root of 4241160072 is about 1618.6820648144.

Adding to 4241160072 its reverse (2700611424), we get a palindrome (6941771496).

The spelling of 4241160072 in words is "four billion, two hundred forty-one million, one hundred sixty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 563 828 1126 1656 1689 2252 3378 4504 4549 5067 6756 9098 10134 12949 13512 13647 18196 20268 25898 27294 36392 38847 40536 40941 51796 54588 77694 81882 103592 104627 109176 116541 155388 163764 209254 233082 310776 313881 327528 418508 466164 627762 837016 932328 941643 1255524 1883286 2511048 2561087 3766572 5122174 7533144 7683261 10244348 15366522 20488696 23049783 30733044 46099566 58905001 61466088 92199132 117810002 176715003 184398264 235620004 353430006 471240008 530145009 706860012 1060290018 1413720024 2120580036 4241160072