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2042556327 = 327241112967
BaseRepresentation
bin111100110111110…
…1110111110100111
312021100102121112100
41321233232332213
513140343300302
6534403023143
7101421304500
oct17157567647
95240377470
102042556327
11958a73889
1249006aab3
13267227616
141553b5ba7
15be4bbd1c
hex79beefa7

2042556327 has 36 divisors (see below), whose sum is σ = 3515790096. Its totient is φ = 1138697280.

The previous prime is 2042556301. The next prime is 2042556337. The reversal of 2042556327 is 7236552402.

It is not a de Polignac number, because 2042556327 - 222 = 2038362023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2042556291 and 2042556300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042556337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38403 + ... + 74564.

It is an arithmetic number, because the mean of its divisors is an integer number (97660836).

Almost surely, 22042556327 is an apocalyptic number.

2042556327 is a deficient number, since it is larger than the sum of its proper divisors (1473233769).

2042556327 is a wasteful number, since it uses less digits than its factorization.

2042556327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113028 (or 113018 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 2042556327 is about 45194.6493182545. The cubic root of 2042556327 is about 1268.7946749231.

The spelling of 2042556327 in words is "two billion, forty-two million, five hundred fifty-six thousand, three hundred twenty-seven".

Divisors: 1 3 7 9 21 41 49 63 123 147 287 369 441 861 2009 2583 6027 18081 112967 338901 790769 1016703 2372307 4631647 5535383 7116921 13894941 16606149 32421529 41684823 49818447 97264587 226950703 291793761 680852109 2042556327