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4249855104 = 273111079403
BaseRepresentation
bin1111110101001111…
…1010010010000000
3101222011212000012220
43331103322102000
532200430330404
61541413051040
7210213113055
oct37523722200
911864760186
104249855104
111890a29050
129a7326a80
13529613181
142c45d302c
1519d17b4d9
hexfd4fa480

4249855104 has 128 divisors (see below), whose sum is σ = 12431335680. Its totient is φ = 1275663360.

The previous prime is 4249855097. The next prime is 4249855117. The reversal of 4249855104 is 4015589424.

4249855104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×42498551042 = 36122536809989701632, which contains 22 as substring.

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, 447267 + ... + 456669.

It is an arithmetic number, because the mean of its divisors is an integer number (97119810).

Almost surely, 24249855104 is an apocalyptic number.

4249855104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4249855104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215667840).

4249855104 is an abundant number, since it is smaller than the sum of its proper divisors (8181480576).

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

4249855104 is a wasteful number, since it uses less digits than its factorization.

4249855104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9538 (or 9526 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 4249855104 is about 65190.9127409641. The cubic root of 4249855104 is about 1619.7874923201.

The spelling of 4249855104 in words is "four billion, two hundred forty-nine million, eight hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 107 128 132 176 192 214 264 321 352 384 428 528 642 704 856 1056 1177 1284 1408 1712 2112 2354 2568 3424 3531 4224 4708 5136 6848 7062 9403 9416 10272 13696 14124 18806 18832 20544 28209 28248 37612 37664 41088 56418 56496 75224 75328 103433 112836 112992 150448 150656 206866 225672 225984 300896 310299 413732 451344 451968 601792 620598 827464 902688 1006121 1203584 1241196 1654928 1805376 2012242 2482392 3018363 3309856 3610752 4024484 4964784 6036726 6619712 8048968 9929568 11067331 12073452 13239424 16097936 19859136 22134662 24146904 32195872 33201993 39718272 44269324 48293808 64391744 66403986 88538648 96587616 128783488 132807972 177077296 193175232 265615944 354154592 386350464 531231888 708309184 1062463776 1416618368 2124927552 4249855104