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61293349 = 1337612089
BaseRepresentation
bin1110100111010…
…0001100100101
311021100000200001
43221310030211
5111142341344
610025421301
71342661545
oct351641445
9137300601
1061293349
1131664667
121863a831
13c910870
1481d7325
1555aaed4
hex3a74325

61293349 has 16 divisors (see below), whose sum is σ = 68936560. Its totient is φ = 54120960.

The previous prime is 61293341. The next prime is 61293371. The reversal of 61293349 is 94339216.

61293349 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 8 ways, for example, as 172225 + 61121124 = 415^2 + 7818^2 .

It is a cyclic number.

It is not a de Polignac number, because 61293349 - 23 = 61293341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61293341) 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 15 ways as a sum of consecutive naturals, for example, 28297 + ... + 30385.

It is an arithmetic number, because the mean of its divisors is an integer number (4308535).

Almost surely, 261293349 is an apocalyptic number.

It is an amenable number.

61293349 is a deficient number, since it is larger than the sum of its proper divisors (7643211).

61293349 is a wasteful number, since it uses less digits than its factorization.

61293349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200.

The product of its digits is 34992, while the sum is 37.

The square root of 61293349 is about 7829.0068974296. The cubic root of 61293349 is about 394.2797299766.

It can be divided in two parts, 612 and 93349, that added together give a triangular number (93961 = T433).

The spelling of 61293349 in words is "sixty-one million, two hundred ninety-three thousand, three hundred forty-nine".

Divisors: 1 13 37 61 481 793 2089 2257 27157 29341 77293 127429 1004809 1656577 4714873 61293349