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45105284 = 22721713537
BaseRepresentation
bin1010110000010…
…0000010000100
310010212120211002
42230010002010
543021332114
64250432432
71055250200
oct254040204
9103776732
1045105284
11235082a4
1213132718
139463523
145dc1b00
153e5e7de
hex2b04084

45105284 has 36 divisors (see below), whose sum is σ = 97229916. Its totient is φ = 18192384.

The previous prime is 45105253. The next prime is 45105311. The reversal of 45105284 is 48250154.

It can be written as a sum of positive squares in 2 ways, for example, as 40576900 + 4528384 = 6370^2 + 2128^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3437 + ... + 10100.

It is an arithmetic number, because the mean of its divisors is an integer number (2700831).

Almost surely, 245105284 is an apocalyptic number.

It is an amenable number.

45105284 is an abundant number, since it is smaller than the sum of its proper divisors (52124632).

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

45105284 is a wasteful number, since it uses less digits than its factorization.

45105284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13572 (or 13563 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 45105284 is about 6716.0467538575. The cubic root of 45105284 is about 355.9665099161.

The spelling of 45105284 in words is "forty-five million, one hundred five thousand, two hundred eighty-four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 1666 3332 13537 27074 54148 94759 189518 230129 379036 460258 663313 920516 1326626 1610903 2653252 3221806 6443612 11276321 22552642 45105284