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2082593331 = 327132542849
BaseRepresentation
bin111110000100001…
…1101101000110011
312101010202200222100
41330020131220303
513231120441311
6542353111443
7102415515450
oct17410355063
95333680870
102082593331
1197962a215
124a1558583
13272604c60
1415a838827
15c2c79a56
hex7c21da33

2082593331 has 24 divisors (see below), whose sum is σ = 3702389600. Its totient is φ = 1098510336.

The previous prime is 2082593297. The next prime is 2082593341. The reversal of 2082593331 is 1333952802.

It is not a de Polignac number, because 2082593331 - 26 = 2082593267 is a prime.

It is a super-2 number, since 2×20825933312 = 8674389964651351122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2082593341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1270606 + ... + 1272243.

Almost surely, 22082593331 is an apocalyptic number.

2082593331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2082593331 is a deficient number, since it is larger than the sum of its proper divisors (1619796269).

2082593331 is a wasteful number, since it uses less digits than its factorization.

2082593331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542875 (or 2542872 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2082593331 is about 45635.4394193811. The cubic root of 2082593331 is about 1277.0311505432.

The spelling of 2082593331 in words is "two billion, eighty-two million, five hundred ninety-three thousand, three hundred thirty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 2542849 7628547 17799943 22885641 33057037 53399829 99171111 160199487 231399259 297513333 694197777 2082593331