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61978241 = 137365309
BaseRepresentation
bin1110110001101…
…1011010000001
311022121211011102
43230123122001
5111331300431
610052224145
71351543403
oct354333201
9138554142
1061978241
1131a92196
121890b055
13cac0520
148334b73
155693dcb
hex3b1b681

61978241 has 8 divisors (see below), whose sum is σ = 67661160. Its totient is φ = 56426112.

The previous prime is 61978237. The next prime is 61978271. The reversal of 61978241 is 14287916.

61978241 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 10080625 + 51897616 = 3175^2 + 7204^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 61978241 - 22 = 61978237 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 61978195 and 61978204.

It is not an unprimeable number, because it can be changed into a prime (61978271) 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, 31706 + ... + 33603.

It is an arithmetic number, because the mean of its divisors is an integer number (8457645).

Almost surely, 261978241 is an apocalyptic number.

It is an amenable number.

61978241 is a deficient number, since it is larger than the sum of its proper divisors (5682919).

61978241 is a wasteful number, since it uses less digits than its factorization.

61978241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65395.

The product of its digits is 24192, while the sum is 38.

The square root of 61978241 is about 7872.6260548816. The cubic root of 61978241 is about 395.7428546024.

The spelling of 61978241 in words is "sixty-one million, nine hundred seventy-eight thousand, two hundred forty-one".

Divisors: 1 13 73 949 65309 849017 4767557 61978241