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61544561 = 133109257
BaseRepresentation
bin1110101011000…
…1100001110001
311021210210021012
43222301201301
5111223411221
610035040305
71345056131
oct352614161
9137723235
1061544561
1131816381
1218740095
13c99b000
148260ac1
15560a65b
hex3ab1871

61544561 has 16 divisors (see below), whose sum is σ = 67544400. Its totient is φ = 56070144.

The previous prime is 61544557. The next prime is 61544563. The reversal of 61544561 is 16544516.

61544561 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 16654561 + 44890000 = 4081^2 + 6700^2 .

It is not a de Polignac number, because 61544561 - 22 = 61544557 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61544563) 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, 239345 + ... + 239601.

It is an arithmetic number, because the mean of its divisors is an integer number (4221525).

Almost surely, 261544561 is an apocalyptic number.

It is an amenable number.

61544561 is a deficient number, since it is larger than the sum of its proper divisors (5999839).

61544561 is a wasteful number, since it uses less digits than its factorization.

61544561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 379 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

The square root of 61544561 is about 7845.0341618122. The cubic root of 61544561 is about 394.8176501695.

The spelling of 61544561 in words is "sixty-one million, five hundred forty-four thousand, five hundred sixty-one".

Divisors: 1 13 109 169 257 1417 2197 3341 18421 28013 43433 239473 364169 564629 4734197 61544561