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4236428288 = 21017397613
BaseRepresentation
bin1111110010000010…
…1100010000000000
3101221020120212002102
43330200230100000
532134011201123
61540213205532
7206661021611
oct37440542000
911836525072
104236428288
111884398304
129a29308a8
135268c1901
142c28d9c08
1519bdc8028
hexfc82c400

4236428288 has 88 divisors (see below), whose sum is σ = 9004130712. Its totient is φ = 1985347584.

The previous prime is 4236428243. The next prime is 4236428297. The reversal of 4236428288 is 8828246324.

It can be written as a sum of positive squares in 4 ways, for example, as 286557184 + 3949871104 = 16928^2 + 62848^2 .

It is a super-2 number, since 2×42364282882 = 35894649278733221888, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6910670 + ... + 6911282.

Almost surely, 24236428288 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 4236428288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4502065356).

4236428288 is an abundant number, since it is smaller than the sum of its proper divisors (4767702424).

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

4236428288 is a wasteful number, since it uses less digits than its factorization.

4236428288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1029 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 47.

The square root of 4236428288 is about 65087.8505406347. The cubic root of 4236428288 is about 1618.0798629041.

The spelling of 4236428288 in words is "four billion, two hundred thirty-six million, four hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 397 512 544 613 794 1024 1088 1226 1588 2176 2452 3176 4352 4904 6352 6749 8704 9808 10421 12704 13498 17408 19616 20842 25408 26996 39232 41684 50816 53992 78464 83368 101632 107984 156928 166736 203264 215968 243361 313856 333472 406528 431936 486722 627712 666944 863872 973444 1333888 1727744 1946888 2667776 3455488 3893776 4137137 5335552 6910976 7787552 8274274 10671104 15575104 16548548 31150208 33097096 62300416 66194192 124600832 132388384 249201664 264776768 529553536 1059107072 2118214144 4236428288