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4241858852 = 22721141471021
BaseRepresentation
bin1111110011010101…
…1010000100100100
3101221121210202102102
43330311122010210
532141403440402
61540525431232
7210055130300
oct37465320444
911847722372
104241858852
111887467380
129a470b518
13527a7366a
142c3510d00
1519c5ec102
hexfcd5a124

4241858852 has 144 divisors (see below), whose sum is σ = 9864965376. Its totient is φ = 1576512000.

The previous prime is 4241858849. The next prime is 4241858897. The reversal of 4241858852 is 2588581424.

4241858852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a junction number, because it is equal to n+sod(n) for n = 4241858797 and 4241858806.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4154102 + ... + 4155122.

It is an arithmetic number, because the mean of its divisors is an integer number (68506704).

Almost surely, 24241858852 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 4241858852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932482688).

4241858852 is an abundant number, since it is smaller than the sum of its proper divisors (5623106524).

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

4241858852 is a wasteful number, since it uses less digits than its factorization.

4241858852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1129 counting only the distinct ones).

The product of its digits is 819200, while the sum is 47.

The square root of 4241858852 is about 65129.5543666621. The cubic root of 4241858852 is about 1618.7709587742.

The spelling of 4241858852 in words is "four billion, two hundred forty-one million, eight hundred fifty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 41 44 47 49 77 82 94 98 154 164 188 196 287 308 329 451 517 539 574 658 902 1021 1034 1078 1148 1316 1804 1927 2009 2042 2068 2156 2303 3157 3619 3854 4018 4084 4606 6314 7147 7238 7708 8036 9212 11231 12628 13489 14294 14476 21197 22099 22462 25333 26978 28588 41861 42394 44198 44924 47987 50029 50666 53956 78617 83722 84788 88396 94423 95974 100058 101332 148379 157234 167444 188846 191948 200116 293027 296758 314468 335909 377692 460471 527857 550319 586054 593516 671818 920942 1038653 1055714 1100638 1172108 1343636 1841884 1967467 2051189 2077306 2111428 2201276 2351363 3223297 3694999 3934934 4102378 4154612 4702726 6446594 7389998 7869868 8204756 9405452 12893188 13772269 14779996 21642137 22563079 25864993 27544538 43284274 45126158 51729986 55089076 86568548 90252316 96405883 103459972 151494959 192811766 302989918 385623532 605979836 1060464713 2120929426 4241858852