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2001378592 = 25419711571
BaseRepresentation
bin111011101001010…
…1001110100100000
312011110221120022001
41313102221310200
513044323103332
6530332253344
7100411303003
oct16722516440
95143846261
102001378592
119377a93a4
1247a311254
1325b83a9b5
1414db3753a
15baa860e7
hex774a9d20

2001378592 has 48 divisors (see below), whose sum is σ = 4043045664. Its totient is φ = 974656000.

The previous prime is 2001378583. The next prime is 2001378629. The reversal of 2001378592 is 2958731002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1273167 + ... + 1274737.

It is an arithmetic number, because the mean of its divisors is an integer number (84230118).

Almost surely, 22001378592 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 2001378592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021522832).

2001378592 is an abundant number, since it is smaller than the sum of its proper divisors (2041667072).

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

2001378592 is a wasteful number, since it uses less digits than its factorization.

2001378592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 2001378592 is about 44736.7700219853. The cubic root of 2001378592 is about 1260.2104695864.

The spelling of 2001378592 in words is "two billion, one million, three hundred seventy-eight thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 971 1312 1571 1942 3142 3884 6284 7768 12568 15536 25136 31072 39811 50272 64411 79622 128822 159244 257644 318488 515288 636976 1030576 1273952 1525441 2061152 3050882 6101764 12203528 24407056 48814112 62543081 125086162 250172324 500344648 1000689296 2001378592