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2054594241 = 34719190717
BaseRepresentation
bin111101001110110…
…1001111011000001
312022012002012110000
41322131221323001
513201434003431
6535513030213
7101625522450
oct17235517301
95265065400
102054594241
11964846077
124940b5369
1326988094b
14156c2ab97
15c05989e6
hex7a769ec1

2054594241 has 40 divisors (see below), whose sum is σ = 3692300480. Its totient is φ = 1112255712.

The previous prime is 2054594207. The next prime is 2054594257. The reversal of 2054594241 is 1424954502.

It is a happy number.

2054594241 is a `hidden beast` number, since 2 + 0 + 545 + 94 + 24 + 1 = 666.

It is not a de Polignac number, because 2054594241 - 29 = 2054593729 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2054594196 and 2054594205.

It is not an unprimeable number, because it can be changed into a prime (2054594261) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84586 + ... + 106131.

It is an arithmetic number, because the mean of its divisors is an integer number (92307512).

Almost surely, 22054594241 is an apocalyptic number.

2054594241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2054594241 is a deficient number, since it is larger than the sum of its proper divisors (1637706239).

2054594241 is a wasteful number, since it uses less digits than its factorization.

2054594241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190755 (or 190746 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2054594241 is about 45327.6322015611. The cubic root of 2054594241 is about 1271.2823637570.

The spelling of 2054594241 in words is "two billion, fifty-four million, five hundred ninety-four thousand, two hundred forty-one".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 189 399 513 567 1197 1539 3591 10773 190717 572151 1335019 1716453 3623623 4005057 5149359 10870869 12015171 15448077 25365361 32612607 36045513 76096083 97837821 108136539 228288249 293513463 684864747 2054594241