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2992941 = 32747507
BaseRepresentation
bin1011011010101100101101
312122001112200
423122230231
51231233231
6144052113
734303530
oct13325455
95561480
102992941
111764706
121004039
1380a393
1457ca17
153e1be6
hex2dab2d

2992941 has 12 divisors (see below), whose sum is σ = 4940832. Its totient is φ = 1710216.

The previous prime is 2992939. The next prime is 2992949. The reversal of 2992941 is 1492992.

It is not a de Polignac number, because 2992941 - 21 = 2992939 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2992896 and 2992905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2992949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23691 + ... + 23816.

It is an arithmetic number, because the mean of its divisors is an integer number (411736).

22992941 is an apocalyptic number.

2992941 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2992941 is a deficient number, since it is larger than the sum of its proper divisors (1947891).

2992941 is a wasteful number, since it uses less digits than its factorization.

2992941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47520 (or 47517 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 2992941 is about 1730.0118496704. The cubic root of 2992941 is about 144.1117477491. Note that the first 3 decimals are identical.

It can be divided in two parts, 299 and 2941, that added together give a triangular number (3240 = T80).

The spelling of 2992941 in words is "two million, nine hundred ninety-two thousand, nine hundred forty-one".

Divisors: 1 3 7 9 21 63 47507 142521 332549 427563 997647 2992941