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2429947 = 13414797
BaseRepresentation
bin1001010001001111111011
311120110021001
421101033323
51110224242
6124025431
726440252
oct11211773
94513231
102429947
11140a723
12992277
13671050
14473799
1532eeb7
hex2513fb

2429947 has 16 divisors (see below), whose sum is σ = 2765952. Its totient is φ = 2119680.

The previous prime is 2429941. The next prime is 2429953. The reversal of 2429947 is 7499242.

It is an interprime number because it is at equal distance from previous prime (2429941) and next prime (2429953).

It is a cyclic number.

It is not a de Polignac number, because 2429947 - 211 = 2427899 is a prime.

It is a d-powerful number, because it can be written as 211 + 49 + 219 + 95 + 96 + 410 + 74 .

It is a Duffinian number.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2429941) 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 15 ways as a sum of consecutive naturals, for example, 25003 + ... + 25099.

It is an arithmetic number, because the mean of its divisors is an integer number (172872).

22429947 is an apocalyptic number.

2429947 is a deficient number, since it is larger than the sum of its proper divisors (336005).

2429947 is a wasteful number, since it uses less digits than its factorization.

2429947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198.

The product of its digits is 36288, while the sum is 37.

The square root of 2429947 is about 1558.8287269614. The cubic root of 2429947 is about 134.4411649639.

Subtracting from 2429947 its sum of digits (37), we obtain a triangular number (2429910 = T2204).

The spelling of 2429947 in words is "two million, four hundred twenty-nine thousand, nine hundred forty-seven".

Divisors: 1 13 41 47 97 533 611 1261 1927 3977 4559 25051 51701 59267 186919 2429947