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61206048 = 25324612
BaseRepresentation
bin1110100101111…
…0111000100000
311021011120220200
43221132320200
5111132043143
610023505200
71342146201
oct351367040
9137146820
1061206048
1131605012
12185b8200
13c8acbc7
1481b35a8
1555901d3
hex3a5ee20

61206048 has 54 divisors (see below), whose sum is σ = 174433077. Its totient is φ = 20357760.

The previous prime is 61206031. The next prime is 61206097. The reversal of 61206048 is 84060216.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

61206048 is a `hidden beast` number, since 612 + 0 + 6 + 0 + 48 = 666.

61206048 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 2 ways, for example, as 59166864 + 2039184 = 7692^2 + 1428^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5532.

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 8 ways as a sum of consecutive naturals, for example, 132538 + ... + 132998.

Almost surely, 261206048 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 61206048

61206048 is an abundant number, since it is smaller than the sum of its proper divisors (113227029).

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

61206048 is an equidigital number, since it uses as much as digits as its factorization.

61206048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 61206048 is about 7823.4294270480. The cubic root of 61206048 is about 394.0924482659.

The spelling of 61206048 in words is "sixty-one million, two hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 461 922 1383 1844 2766 3688 4149 5532 7376 8298 11064 14752 16596 22128 33192 44256 66384 132768 212521 425042 637563 850084 1275126 1700168 1912689 2550252 3400336 3825378 5100504 6800672 7650756 10201008 15301512 20402016 30603024 61206048