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2001992048 = 247103173543
BaseRepresentation
bin111011101010011…
…1111100101110000
312011112002201210122
41313110333211300
513100002221143
6530353345412
7100416436340
oct16724774560
95145081718
102001992048
11938088291
1247a568268
1325b9c3ca4
1414dc56d20
15bab57c68
hex7753f970

2001992048 has 40 divisors (see below), whose sum is σ = 4476046848. Its totient is φ = 849661632.

The previous prime is 2001992039. The next prime is 2001992051. The reversal of 2001992048 is 8402991002.

It is a junction number, because it is equal to n+sod(n) for n = 2001991999 and 2001992017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75236 + ... + 98307.

Almost surely, 22001992048 is an apocalyptic number.

2001992048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2001992048 is an abundant number, since it is smaller than the sum of its proper divisors (2474054800).

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

2001992048 is a wasteful number, since it uses less digits than its factorization.

2001992048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173661 (or 173655 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 2001992048 is about 44743.6257806629. The cubic root of 2001992048 is about 1260.3392149594.

The spelling of 2001992048 in words is "two billion, one million, nine hundred ninety-two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 103 112 206 412 721 824 1442 1648 2884 5768 11536 173543 347086 694172 1214801 1388344 2429602 2776688 4859204 9718408 17874929 19436816 35749858 71499716 125124503 142999432 250249006 285998864 500498012 1000996024 2001992048