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61169248 = 25735573
BaseRepresentation
bin1110100101010…
…1111001100000
311021002201102201
43221111321200
5111124403443
610023022544
71341634000
oct351257140
9137081381
1061169248
113158a3a8
121859aa54
13c89922a
1481a4000
15558434d
hex3a55e60

61169248 has 48 divisors (see below), whose sum is σ = 140464800. Its totient is φ = 26210688.

The previous prime is 61169239. The next prime is 61169279. The reversal of 61169248 is 84296116.

It is a happy number.

61169248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 8190 + ... + 13762.

It is an arithmetic number, because the mean of its divisors is an integer number (2926350).

Almost surely, 261169248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61169248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70232400).

61169248 is an abundant number, since it is smaller than the sum of its proper divisors (79295552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61169248 is an equidigital number, since it uses as much as digits as its factorization.

61169248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5604 (or 5582 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The square root of 61169248 is about 7821.0771636649. The cubic root of 61169248 is about 394.0134500291.

The spelling of 61169248 in words is "sixty-one million, one hundred sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1372 1568 2744 5488 5573 10976 11146 22292 39011 44584 78022 89168 156044 178336 273077 312088 546154 624176 1092308 1248352 1911539 2184616 3823078 4369232 7646156 8738464 15292312 30584624 61169248