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2842957 = 13297541
BaseRepresentation
bin1010110110000101001101
312100102210201
422312011031
51211433312
6140533501
733110335
oct12660515
95312721
102842957
111671a57
12b51291
13787030
145400c5
153b2557
hex2b614d

2842957 has 8 divisors (see below), whose sum is σ = 3167640. Its totient is φ = 2533440.

The previous prime is 2842949. The next prime is 2842963. The reversal of 2842957 is 7592482.

2842957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 361 + 2842596 = 19^2 + 1686^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2842957 - 23 = 2842949 is a prime.

It is a d-powerful number, because it can be written as 25 + 83 + 48 + 27 + 92 + 59 + 77 .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2842937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3394 + ... + 4147.

It is an arithmetic number, because the mean of its divisors is an integer number (395955).

22842957 is an apocalyptic number.

It is an amenable number.

2842957 is a deficient number, since it is larger than the sum of its proper divisors (324683).

2842957 is a wasteful number, since it uses less digits than its factorization.

2842957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7583.

The product of its digits is 40320, while the sum is 37.

The square root of 2842957 is about 1686.1070547270. The cubic root of 2842957 is about 141.6631073308.

Subtracting from 2842957 its sum of digits (37), we obtain a triangular number (2842920 = T2384).

The spelling of 2842957 in words is "two million, eight hundred forty-two thousand, nine hundred fifty-seven".

Divisors: 1 13 29 377 7541 98033 218689 2842957