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4241727776 = 2511134321557
BaseRepresentation
bin1111110011010011…
…1010000100100000
3101221121120002121202
43330310322010200
532141340242101
61540522540332
7210054043166
oct37464720440
911847502552
104241727776
111887387950
129a46676a8
13527a28ac0
142c34b9236
1519c5c336b
hexfcd3a120

4241727776 has 96 divisors (see below), whose sum is σ = 10039474368. Its totient is φ = 1738275840.

The previous prime is 4241727773. The next prime is 4241727779. The reversal of 4241727776 is 6777271424.

It is an interprime number because it is at equal distance from previous prime (4241727773) and next prime (4241727779).

It is a self number, because there is not a number n which added to its sum of digits gives 4241727776.

It is not an unprimeable number, because it can be changed into a prime (4241727773) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185990 + ... + 207546.

It is an arithmetic number, because the mean of its divisors is an integer number (104577858).

Almost surely, 24241727776 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 4241727776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019737184).

4241727776 is an abundant number, since it is smaller than the sum of its proper divisors (5797746592).

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

4241727776 is a wasteful number, since it uses less digits than its factorization.

4241727776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21634 (or 21626 counting only the distinct ones).

The product of its digits is 921984, while the sum is 47.

The square root of 4241727776 is about 65128.5480876090. The cubic root of 4241727776 is about 1618.7542849357.

The spelling of 4241727776 in words is "four billion, two hundred forty-one million, seven hundred twenty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 43 44 52 86 88 104 143 172 176 208 286 344 352 416 473 559 572 688 946 1118 1144 1376 1892 2236 2288 3784 4472 4576 6149 7568 8944 12298 15136 17888 21557 24596 43114 49192 86228 98384 172456 196768 237127 280241 344912 474254 560482 689824 926951 948508 1120964 1853902 1897016 2241928 3082651 3707804 3794032 4483856 6165302 7415608 7588064 8967712 10196461 12050363 12330604 14831216 20392922 24100726 24661208 29662432 40785844 48201452 49322416 81571688 96402904 98644832 132553993 163143376 192805808 265107986 326286752 385611616 530215972 1060431944 2120863888 4241727776