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2000441432 = 231183401683
BaseRepresentation
bin111011100111100…
…0101000001011000
312011102011221202102
41313033011001120
513044103111212
6530300222532
7100400320523
oct16717050130
95142157672
102000441432
11937219290
12479b3aa48
1325b5a0272
1414d971bba
15ba94d5c2
hex773c5058

2000441432 has 64 divisors (see below), whose sum is σ = 4157516160. Its totient is φ = 894784000.

The previous prime is 2000441423. The next prime is 2000441437. The reversal of 2000441432 is 2341440002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000441437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2928563 + ... + 2929245.

It is an arithmetic number, because the mean of its divisors is an integer number (64961190).

Almost surely, 22000441432 is an apocalyptic number.

2000441432 is a gapful number since it is divisible by the number (22) 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 2000441432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078758080).

2000441432 is an abundant number, since it is smaller than the sum of its proper divisors (2157074728).

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

2000441432 is a wasteful number, since it uses less digits than its factorization.

2000441432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2000441432 is about 44726.2946374948. The cubic root of 2000441432 is about 1260.0137379874.

Adding to 2000441432 its reverse (2341440002), we get a palindrome (4341881434).

The spelling of 2000441432 in words is "two billion, four hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 83 88 166 332 401 664 683 802 913 1366 1604 1826 2732 3208 3652 4411 5464 7304 7513 8822 15026 17644 30052 33283 35288 56689 60104 66566 113378 133132 226756 266264 273883 366113 453512 547766 623579 732226 1095532 1247158 1464452 2191064 2494316 2928904 3012713 4988632 6025426 12050852 22732289 24101704 45464578 90929156 181858312 250055179 500110358 1000220716 2000441432