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64055046 = 23112342197
BaseRepresentation
bin1111010001011…
…0011100000110
311110112100000010
43310112130012
5112344230141
610204531050
71405313256
oct364263406
9143470003
1064055046
1133180560
1219550a86
13103698c3
148715966
155954416
hex3d16706

64055046 has 32 divisors (see below), whose sum is σ = 145836288. Its totient is φ = 18566240.

The previous prime is 64055041. The next prime is 64055053.

64055046 is nontrivially palindromic in base 10.

64055046 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 not an unprimeable number, because it can be changed into a prime (64055041) 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, 19581 + ... + 22616.

It is an arithmetic number, because the mean of its divisors is an integer number (4557384).

Almost surely, 264055046 is an apocalyptic number.

64055046 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

64055046 is an abundant number, since it is smaller than the sum of its proper divisors (81781242).

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

64055046 is a wasteful number, since it uses less digits than its factorization.

64055046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42236.

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 64055046 is about 8003.4396355567. The cubic root of 64055046 is about 400.1146463041.

The spelling of 64055046 in words is "sixty-four million, fifty-five thousand, forty-six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 759 1518 42197 84394 126591 253182 464167 928334 970531 1392501 1941062 2785002 2911593 5823186 10675841 21351682 32027523 64055046