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45628281 = 3229174821
BaseRepresentation
bin1010111000001…
…1101101111001
310011212011020100
42232003231321
543140101111
64305550013
71062556026
oct256035571
9104764210
1045628281
1123835226
1213345309
1395b75aa
1460ba54d
154014756
hex2b83b79

45628281 has 12 divisors (see below), whose sum is σ = 68180580. Its totient is φ = 29369760.

The previous prime is 45628259. The next prime is 45628301. The reversal of 45628281 is 18282654.

45628281 is a `hidden beast` number, since 4 + 5 + 628 + 28 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8173881 + 37454400 = 2859^2 + 6120^2 .

It is not a de Polignac number, because 45628281 - 213 = 45620089 is a prime.

It is a super-3 number, since 3×456282813 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (45621281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87150 + ... + 87671.

It is an arithmetic number, because the mean of its divisors is an integer number (5681715).

Almost surely, 245628281 is an apocalyptic number.

It is an amenable number.

45628281 is a deficient number, since it is larger than the sum of its proper divisors (22552299).

45628281 is a wasteful number, since it uses less digits than its factorization.

45628281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174856 (or 174853 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 45628281 is about 6754.8709092032. The cubic root of 45628281 is about 357.3370401764.

The spelling of 45628281 in words is "forty-five million, six hundred twenty-eight thousand, two hundred eighty-one".

Divisors: 1 3 9 29 87 261 174821 524463 1573389 5069809 15209427 45628281