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45138906 = 23229432011
BaseRepresentation
bin1010110000110…
…0001111011010
310010221021221100
42230030033122
543023421111
64251252230
71055450211
oct254141732
9103837840
1045138906
112353058a
121314a076
139475917
145dd0078
153e69756
hex2b0c3da

45138906 has 48 divisors (see below), whose sum is σ = 103577760. Its totient is φ = 14182560.

The previous prime is 45138901. The next prime is 45138911. The reversal of 45138906 is 60983154.

45138906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45138901) and next prime (45138911).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45138901) 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 23 ways as a sum of consecutive naturals, for example, 21441 + ... + 23451.

It is an arithmetic number, because the mean of its divisors is an integer number (2157870).

Almost surely, 245138906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45138906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51788880).

45138906 is an abundant number, since it is smaller than the sum of its proper divisors (58438854).

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

45138906 is a wasteful number, since it uses less digits than its factorization.

45138906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 45138906 is about 6718.5493970053. The cubic root of 45138906 is about 356.0549351322.

The spelling of 45138906 in words is "forty-five million, one hundred thirty-eight thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 29 43 58 86 87 129 174 258 261 387 522 774 1247 2011 2494 3741 4022 6033 7482 11223 12066 18099 22446 36198 58319 86473 116638 172946 174957 259419 349914 518838 524871 778257 1049742 1556514 2507717 5015434 7523151 15046302 22569453 45138906