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2831948 = 227101141
BaseRepresentation
bin1010110011011001001100
312022212200222
422303121030
51211110243
6140410512
733033260
oct12633114
95285628
102831948
111664759
12b46a38
13782012
1453a0a0
153ae168
hex2b364c

2831948 has 12 divisors (see below), whose sum is σ = 5663952. Its totient is φ = 1213680.

The previous prime is 2831947. The next prime is 2831951. The reversal of 2831948 is 8491382.

It is a happy number.

2831948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2831948 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (2831947) 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 3 ways as a sum of consecutive naturals, for example, 50543 + ... + 50598.

It is an arithmetic number, because the mean of its divisors is an integer number (471996).

22831948 is an apocalyptic number.

2831948 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2831948 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2831948 is a wasteful number, since it uses less digits than its factorization.

2831948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101152 (or 101150 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 2831948 is about 1682.8392674287. The cubic root of 2831948 is about 141.4800131592.

The spelling of 2831948 in words is "two million, eight hundred thirty-one thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 101141 202282 404564 707987 1415974 2831948