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45106208 = 257593413
BaseRepresentation
bin1010110000010…
…0010000100000
310010212122002022
42230010100200
543021344313
64250441012
71055252660
oct254042040
9103778068
1045106208
1123508a64
1213133168
139463a84
145dc21a0
153e5ec08
hex2b04420

45106208 has 48 divisors (see below), whose sum is σ = 103239360. Its totient is φ = 18998016.

The previous prime is 45106207. The next prime is 45106213. The reversal of 45106208 is 80260154.

It is not an unprimeable number, because it can be changed into a prime (45106207) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11510 + ... + 14922.

It is an arithmetic number, because the mean of its divisors is an integer number (2150820).

Almost surely, 245106208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45106208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51619680).

45106208 is an abundant number, since it is smaller than the sum of its proper divisors (58133152).

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

45106208 is a wasteful number, since it uses less digits than its factorization.

45106208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489 (or 3481 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 45106208 is about 6716.1155439733. The cubic root of 45106208 is about 355.9689406055.

The spelling of 45106208 in words is "forty-five million, one hundred six thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 112 118 224 236 413 472 826 944 1652 1888 3304 3413 6608 6826 13216 13652 23891 27304 47782 54608 95564 109216 191128 201367 382256 402734 764512 805468 1409569 1610936 2819138 3221872 5638276 6443744 11276552 22553104 45106208