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61125649 = 1329281577
BaseRepresentation
bin1110100100101…
…1010000010001
311021000111121221
43221023100101
5111122010044
610022045041
71341362614
oct351132021
9137014557
1061125649
113155a672
1218579781
13c882430
14819217b
155576484
hex3a4b411

61125649 has 16 divisors (see below), whose sum is σ = 68458320. Its totient is φ = 54190080.

The previous prime is 61125637. The next prime is 61125703. The reversal of 61125649 is 94652116.

It can be written as a sum of positive squares in 8 ways, for example, as 3972049 + 57153600 = 1993^2 + 7560^2 .

It is a cyclic number.

It is not a de Polignac number, because 61125649 - 215 = 61092881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61125049) 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 15 ways as a sum of consecutive naturals, for example, 105649 + ... + 106225.

It is an arithmetic number, because the mean of its divisors is an integer number (4278645).

Almost surely, 261125649 is an apocalyptic number.

It is an amenable number.

61125649 is a deficient number, since it is larger than the sum of its proper divisors (7332671).

61125649 is a wasteful number, since it uses less digits than its factorization.

61125649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900.

The product of its digits is 12960, while the sum is 34.

The square root of 61125649 is about 7818.2893909090. The cubic root of 61125649 is about 393.9198154225.

The spelling of 61125649 in words is "sixty-one million, one hundred twenty-five thousand, six hundred forty-nine".

Divisors: 1 13 29 281 377 577 3653 7501 8149 16733 105937 162137 217529 2107781 4701973 61125649