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2938131 = 327149313
BaseRepresentation
bin1011001101010100010011
312112021100200
423031110103
51223010011
6142550243
733654660
oct13152423
95467320
102938131
111727509
12b98383
137bb451
14566a67
153d0856
hex2cd513

2938131 has 24 divisors (see below), whose sum is σ = 4898400. Its totient is φ = 1662336.

The previous prime is 2938129. The next prime is 2938163. The reversal of 2938131 is 1318392.

2938131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2938131 - 21 = 2938129 is a prime.

It is a super-2 number, since 2×29381312 = 17265227546322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2938095 and 2938104.

It is not an unprimeable number, because it can be changed into a prime (2938931) 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 23 ways as a sum of consecutive naturals, for example, 9231 + ... + 9543.

It is an arithmetic number, because the mean of its divisors is an integer number (204100).

22938131 is an apocalyptic number.

2938131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2938131 is a deficient number, since it is larger than the sum of its proper divisors (1960269).

2938131 is a wasteful number, since it uses less digits than its factorization.

2938131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 472 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 2938131 is about 1714.0977218350. The cubic root of 2938131 is about 143.2266118629.

The spelling of 2938131 in words is "two million, nine hundred thirty-eight thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 63 149 313 447 939 1043 1341 2191 2817 3129 6573 9387 19719 46637 139911 326459 419733 979377 2938131