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2472309 = 337103127
BaseRepresentation
bin1001011011100101110101
311122121101000
421123211311
51113103214
6124553513
730004620
oct11334565
94577330
102472309
111439534
129b2899
13687408
14484db7
1533c809
hex25b975

2472309 has 32 divisors (see below), whose sum is σ = 4259840. Its totient is φ = 1388016.

The previous prime is 2472289. The next prime is 2472313. The reversal of 2472309 is 9032742.

It is not a de Polignac number, because 2472309 - 27 = 2472181 is a prime.

It is a super-2 number, since 2×24723092 = 12224623582962, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2472329) 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 31 ways as a sum of consecutive naturals, for example, 19404 + ... + 19530.

It is an arithmetic number, because the mean of its divisors is an integer number (133120).

22472309 is an apocalyptic number.

It is an amenable number.

2472309 is a deficient number, since it is larger than the sum of its proper divisors (1787531).

2472309 is a wasteful number, since it uses less digits than its factorization.

2472309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2472309 is about 1572.3577837121. The cubic root of 2472309 is about 135.2179196455.

It can be divided in two parts, 247 and 2309, that added together give a triangular number (2556 = T71).

The spelling of 2472309 in words is "two million, four hundred seventy-two thousand, three hundred nine".

Divisors: 1 3 7 9 21 27 63 103 127 189 309 381 721 889 927 1143 2163 2667 2781 3429 6489 8001 13081 19467 24003 39243 91567 117729 274701 353187 824103 2472309