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4243057632 = 253211311069
BaseRepresentation
bin1111110011100111…
…1110101111100000
3101221201001122211200
43330321332233200
532142210321012
61541011241200
7210101252262
oct37471765740
911851048750
104243057632
111888106000
129a4ba9200
135280a31b8
142c3743b32
1519c7873dc
hexfce7ebe0

4243057632 has 144 divisors (see below), whose sum is σ = 13273107120. Its totient is φ = 1285658880.

The previous prime is 4243057631. The next prime is 4243057639. The reversal of 4243057632 is 2367503424.

4243057632 is a `hidden beast` number, since 4 + 24 + 30 + 576 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4243057631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377794 + ... + 388862.

It is an arithmetic number, because the mean of its divisors is an integer number (92174355).

Almost surely, 24243057632 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 4243057632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6636553560).

4243057632 is an abundant number, since it is smaller than the sum of its proper divisors (9030049488).

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

4243057632 is a wasteful number, since it uses less digits than its factorization.

4243057632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11118 (or 11085 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 4243057632 is about 65138.7567581697. The cubic root of 4243057632 is about 1618.9234365394.

The spelling of 4243057632 in words is "four billion, two hundred forty-three million, fifty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1331 1452 1584 1936 2178 2662 2904 3168 3872 3993 4356 5324 5808 7986 8712 10648 11069 11616 11979 15972 17424 21296 22138 23958 31944 33207 34848 42592 44276 47916 63888 66414 88552 95832 99621 121759 127776 132828 177104 191664 199242 243518 265656 354208 365277 383328 398484 487036 531312 730554 796968 974072 1062624 1095831 1339349 1461108 1593936 1948144 2191662 2678698 2922216 3187872 3896288 4018047 4383324 5357396 5844432 8036094 8766648 10714792 11688864 12054141 14732839 16072188 17533296 21429584 24108282 29465678 32144376 35066592 42859168 44198517 48216564 58931356 64288752 88397034 96433128 117862712 128577504 132595551 176794068 192866256 235725424 265191102 353588136 385732512 471450848 530382204 707176272 1060764408 1414352544 2121528816 4243057632