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45386232 = 23331531151
BaseRepresentation
bin1010110100100…
…0100111111000
310011101212012120
42231020213320
543104324412
64300441240
71060530243
oct255104770
9104355176
1045386232
112368a391
1213249220
139531378
14605625a
153eb7b8c
hex2b489f8

45386232 has 64 divisors (see below), whose sum is σ = 119439360. Its totient is φ = 14352000.

The previous prime is 45386227. The next prime is 45386233. The reversal of 45386232 is 23268354.

It is a happy number.

45386232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45386193 and 45386202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45386233) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 38857 + ... + 40007.

It is an arithmetic number, because the mean of its divisors is an integer number (1866240).

Almost surely, 245386232 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 45386232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59719680).

45386232 is an abundant number, since it is smaller than the sum of its proper divisors (74053128).

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

45386232 is a wasteful number, since it uses less digits than its factorization.

45386232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1240 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 45386232 is about 6736.9304583022. The cubic root of 45386232 is about 356.7040521365.

The spelling of 45386232 in words is "forty-five million, three hundred eighty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 53 62 93 106 124 159 186 212 248 318 372 424 636 744 1151 1272 1643 2302 3286 3453 4604 4929 6572 6906 9208 9858 13144 13812 19716 27624 35681 39432 61003 71362 107043 122006 142724 183009 214086 244012 285448 366018 428172 488024 732036 856344 1464072 1891093 3782186 5673279 7564372 11346558 15128744 22693116 45386232