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2830949541 = 337103145423
BaseRepresentation
bin1010100010111100…
…1101110010100101
321022021221010201000
42220233031302211
521244210341131
61144525023513
7130103450130
oct25057156245
97267833630
102830949541
111222aa7322
126700b4b99
13361675494
141cbd9d217
151187eece6
hexa8bcdca5

2830949541 has 32 divisors (see below), whose sum is σ = 4839710720. Its totient is φ = 1601968752.

The previous prime is 2830949519. The next prime is 2830949551. The reversal of 2830949541 is 1459490382.

It is not a de Polignac number, because 2830949541 - 27 = 2830949413 is a prime.

It is a super-2 number, since 2×28309495412 = 16028550607376221362, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2830949551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53245 + ... + 92178.

It is an arithmetic number, because the mean of its divisors is an integer number (151240960).

Almost surely, 22830949541 is an apocalyptic number.

2830949541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2830949541 is a deficient number, since it is larger than the sum of its proper divisors (2008761179).

2830949541 is a wasteful number, since it uses less digits than its factorization.

2830949541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145542 (or 145536 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2830949541 is about 53206.6682005179. The cubic root of 2830949541 is about 1414.6338401710.

The spelling of 2830949541 in words is "two billion, eight hundred thirty million, nine hundred forty-nine thousand, five hundred forty-one".

Divisors: 1 3 7 9 21 27 63 103 189 309 721 927 2163 2781 6489 19467 145423 436269 1017961 1308807 3053883 3926421 9161649 14978569 27484947 44935707 104849983 134807121 314549949 404421363 943649847 2830949541