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4232471136 = 253793131783
BaseRepresentation
bin1111110001000110…
…0110001001100000
3101220222010210220020
43330101212021200
532132003034021
61535552313440
7206612260665
oct37421461140
911828123806
104232471136
111882135233
129a1542880
13525b376ba
142c2189a6c
1519b8957c6
hexfc466260

4232471136 has 96 divisors (see below), whose sum is σ = 11293148160. Its totient is φ = 1387736064.

The previous prime is 4232471129. The next prime is 4232471171. The reversal of 4232471136 is 6311742324.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4232471097 and 4232471106.

It is a congruent number.

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, 2372901 + ... + 2374683.

It is an arithmetic number, because the mean of its divisors is an integer number (117636960).

Almost surely, 24232471136 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 4232471136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646574080).

4232471136 is an abundant number, since it is smaller than the sum of its proper divisors (7060677024).

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

4232471136 is a wasteful number, since it uses less digits than its factorization.

4232471136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2180 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 4232471136 is about 65057.4448929559. Note that the first 3 decimals coincide. The cubic root of 4232471136 is about 1617.5759020048.

The spelling of 4232471136 in words is "four billion, two hundred thirty-two million, four hundred seventy-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 313 316 474 626 632 939 948 1252 1264 1783 1878 1896 2504 2528 3566 3756 3792 5008 5349 7132 7512 7584 10016 10698 14264 15024 21396 24727 28528 30048 42792 49454 57056 74181 85584 98908 140857 148362 171168 197816 281714 296724 395632 422571 558079 563428 593448 791264 845142 1116158 1126856 1186896 1674237 1690284 2232316 2253712 2373792 3348474 3380568 4464632 4507424 6696948 6761136 8929264 13393896 13522272 17858528 26787792 44088241 53575584 88176482 132264723 176352964 264529446 352705928 529058892 705411856 1058117784 1410823712 2116235568 4232471136