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45275346 = 23237157433
BaseRepresentation
bin1010110010110…
…1100011010010
310011012020002200
42230231203102
543042302341
64254224030
71056556044
oct254554322
9104166080
1045275346
1123614046
12131b5016
1394c2a5c
146027a94
153e94db6
hex2b2d8d2

45275346 has 48 divisors (see below), whose sum is σ = 101623704. Its totient is φ = 14556672.

The previous prime is 45275333. The next prime is 45275353. The reversal of 45275346 is 64357254.

45275346 is a `hidden beast` number, since 45 + 275 + 346 = 666.

45275346 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 4 ways, for example, as 35105625 + 10169721 = 5925^2 + 3189^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 45275346.

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 23 ways as a sum of consecutive naturals, for example, 104346 + ... + 104778.

Almost surely, 245275346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45275346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50811852).

45275346 is an abundant number, since it is smaller than the sum of its proper divisors (56348358).

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

45275346 is a wasteful number, since it uses less digits than its factorization.

45275346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 632 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 45275346 is about 6728.6957131379. The cubic root of 45275346 is about 356.4133197605.

The spelling of 45275346 in words is "forty-five million, two hundred seventy-five thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 37 74 111 157 222 314 333 433 471 666 866 942 1299 1413 2598 2826 3897 5809 7794 11618 16021 17427 32042 34854 48063 52281 67981 96126 104562 135962 144189 203943 288378 407886 611829 1223658 2515297 5030594 7545891 15091782 22637673 45275346