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2952937 = 132101173
BaseRepresentation
bin1011010000111011101001
312120000200001
423100323221
51223443222
6143143001
734046101
oct13207351
95500601
102952937
111737649
12ba4a61
137c5100
1456c201
153d4e27
hex2d0ee9

2952937 has 12 divisors (see below), whose sum is σ = 3247884. Its totient is φ = 2683200.

The previous prime is 2952913. The next prime is 2952953. The reversal of 2952937 is 7392592.

It can be written as a sum of positive squares in 6 ways, for example, as 59536 + 2893401 = 244^2 + 1701^2 .

It is not a de Polignac number, because 2952937 - 211 = 2950889 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2952896 and 2952905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2952977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16983 + ... + 17155.

It is an arithmetic number, because the mean of its divisors is an integer number (270657).

22952937 is an apocalyptic number.

It is an amenable number.

2952937 is a deficient number, since it is larger than the sum of its proper divisors (294947).

2952937 is a wasteful number, since it uses less digits than its factorization.

2952937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 287 counting only the distinct ones).

The product of its digits is 34020, while the sum is 37.

The square root of 2952937 is about 1718.4111847867. The cubic root of 2952937 is about 143.4667941476.

The spelling of 2952937 in words is "two million, nine hundred fifty-two thousand, nine hundred thirty-seven".

Divisors: 1 13 101 169 173 1313 2249 17069 17473 29237 227149 2952937