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4032220032 = 273211513041
BaseRepresentation
bin1111000001010110…
…1100101110000000
3101102000100000000200
43300111230232000
531224222020112
61504040245200
7201631206351
oct36025545600
911360300020
104032220032
11178a0a0655
12946470800
134c34c3019
142a373dd28
15188edbcdc
hexf056cb80

4032220032 has 96 divisors (see below), whose sum is σ = 11617032960. Its totient is φ = 1342464000.

The previous prime is 4032220013. The next prime is 4032220057. The reversal of 4032220032 is 2300222304.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4032219987 and 4032220014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1324432 + ... + 1327472.

It is an arithmetic number, because the mean of its divisors is an integer number (121010760).

Almost surely, 24032220032 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 4032220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5808516480).

4032220032 is an abundant number, since it is smaller than the sum of its proper divisors (7584812928).

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

4032220032 is a wasteful number, since it uses less digits than its factorization.

4032220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4212 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 4032220032 is about 63499.7640310576. The cubic root of 4032220032 is about 1591.6518350101.

Adding to 4032220032 its reverse (2300222304), we get a palindrome (6332442336).

The spelling of 4032220032 in words is "four billion, thirty-two million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1151 1152 2302 3041 3453 4604 6082 6906 9123 9208 10359 12164 13812 18246 18416 20718 24328 27369 27624 36492 36832 41436 48656 54738 55248 72984 73664 82872 97312 109476 110496 145968 147328 165744 194624 218952 220992 291936 331488 389248 437904 441984 583872 662976 875808 1167744 1325952 1751616 3500191 3503232 7000382 10500573 14000764 21001146 28001528 31501719 42002292 56003056 63003438 84004584 112006112 126006876 168009168 224012224 252013752 336018336 448024448 504027504 672036672 1008055008 1344073344 2016110016 4032220032