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4526664352 = 257432332017
BaseRepresentation
bin1000011011100111…
…10110101010100000
3102200110201101010021
410031303312222200
533232311224402
62025102043224
7220114004110
oct41563665240
912613641107
104526664352
111a13202a21
12a63b79514
13571a81422
1430d28b040
151b7608d37
hex10dcf6aa0

4526664352 has 96 divisors (see below), whose sum is σ = 10471773312. Its totient is φ = 1885814784.

The previous prime is 4526664301. The next prime is 4526664391. The reversal of 4526664352 is 2534666254.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a junction number, because it is equal to n+sod(n) for n = 4526664299 and 4526664308.

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, 2243248 + ... + 2245264.

It is an arithmetic number, because the mean of its divisors is an integer number (109080972).

Almost surely, 24526664352 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 4526664352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5235886656).

4526664352 is an abundant number, since it is smaller than the sum of its proper divisors (5945108960).

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

4526664352 is a wasteful number, since it uses less digits than its factorization.

4526664352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310 (or 2302 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 43.

The square root of 4526664352 is about 67280.4901290114. The cubic root of 4526664352 is about 1654.2180845274.

The spelling of 4526664352 in words is "four billion, five hundred twenty-six million, six hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 233 301 344 466 602 688 932 1204 1376 1631 1864 2017 2408 3262 3728 4034 4816 6524 7456 8068 9632 10019 13048 14119 16136 20038 26096 28238 32272 40076 52192 56476 64544 70133 80152 86731 112952 140266 160304 173462 225904 280532 320608 346924 451808 469961 561064 607117 693848 939922 1122128 1214234 1387696 1879844 2244256 2428468 2775392 3289727 3759688 4856936 6579454 7519376 9713872 13158908 15038752 19427744 20208323 26317816 40416646 52635632 80833292 105271264 141458261 161666584 282916522 323333168 565833044 646666336 1131666088 2263332176 4526664352