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61113949 = 13327817
BaseRepresentation
bin1110100100100…
…0011001011101
311020222220120121
43221020121131
5111121121244
610021514541
71341313531
oct351103135
9136886517
1061113949
11315518a6
1218572a51
13c87a000
14818bbc1
155572c84
hex3a4865d

61113949 has 8 divisors (see below), whose sum is σ = 66206840. Its totient is φ = 56410848.

The previous prime is 61113947. The next prime is 61113953. The reversal of 61113949 is 94931116.

It is a happy number.

61113949 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 16957924 + 44156025 = 4118^2 + 6645^2 .

It is not a de Polignac number, because 61113949 - 21 = 61113947 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61113947) 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 7 ways as a sum of consecutive naturals, for example, 11712 + ... + 16105.

It is an arithmetic number, because the mean of its divisors is an integer number (8275855).

Almost surely, 261113949 is an apocalyptic number.

It is an amenable number.

61113949 is a deficient number, since it is larger than the sum of its proper divisors (5092891).

61113949 is an equidigital number, since it uses as much as digits as its factorization.

61113949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27856 (or 27830 counting only the distinct ones).

The product of its digits is 5832, while the sum is 34.

The square root of 61113949 is about 7817.5411095817. The cubic root of 61113949 is about 393.8946805513.

The spelling of 61113949 in words is "sixty-one million, one hundred thirteen thousand, nine hundred forty-nine".

Divisors: 1 13 169 2197 27817 361621 4701073 61113949