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54303066 = 23217434127
BaseRepresentation
bin1100111100100…
…1100101011010
310210011212210200
43033021211122
5102400144231
65215523030
71226365656
oct317114532
9123155720
1054303066
112871a774
1216229476
13b333bbc
1472d7a66
154b79be6
hex33c995a

54303066 has 48 divisors (see below), whose sum is σ = 127505664. Its totient is φ = 16636032.

The previous prime is 54303061. The next prime is 54303079. The reversal of 54303066 is 66030345.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54303061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11095 + ... + 15221.

It is an arithmetic number, because the mean of its divisors is an integer number (2656368).

Almost surely, 254303066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54303066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63752832).

54303066 is an abundant number, since it is smaller than the sum of its proper divisors (73202598).

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

54303066 is a wasteful number, since it uses less digits than its factorization.

54303066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4195 (or 4192 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 54303066 is about 7369.0614056337. The cubic root of 54303066 is about 378.6821059231.

The spelling of 54303066 in words is "fifty-four million, three hundred three thousand, sixty-six".

Divisors: 1 2 3 6 9 17 18 34 43 51 86 102 129 153 258 306 387 731 774 1462 2193 4127 4386 6579 8254 12381 13158 24762 37143 70159 74286 140318 177461 210477 354922 420954 532383 631431 1064766 1262862 1597149 3016837 3194298 6033674 9050511 18101022 27151533 54303066