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45723750 = 235489137
BaseRepresentation
bin1010111001101…
…1000001100110
310012001000012020
42232123001212
543201130000
64312004010
71063434252
oct256330146
9105030166
1045723750
112389aa26
1213390606
13961bb97
146103262
154032ba0
hex2b9b066

45723750 has 80 divisors (see below), whose sum is σ = 116400240. Its totient is φ = 11968000.

The previous prime is 45723739. The next prime is 45723751. The reversal of 45723750 is 5732754.

45723750 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×457237502 = 4181322628125000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45723751) 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 39 ways as a sum of consecutive naturals, for example, 333682 + ... + 333818.

It is an arithmetic number, because the mean of its divisors is an integer number (1455003).

Almost surely, 245723750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45723750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58200120).

45723750 is an abundant number, since it is smaller than the sum of its proper divisors (70676490).

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

45723750 is a wasteful number, since it uses less digits than its factorization.

45723750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 45723750 is about 6761.9338949741. The cubic root of 45723750 is about 357.5860877981.

The spelling of 45723750 in words is "forty-five million, seven hundred twenty-three thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 89 125 137 150 178 250 267 274 375 411 445 534 625 685 750 822 890 1250 1335 1370 1875 2055 2225 2670 3425 3750 4110 4450 6675 6850 10275 11125 12193 13350 17125 20550 22250 24386 33375 34250 36579 51375 55625 60965 66750 73158 85625 102750 111250 121930 166875 171250 182895 256875 304825 333750 365790 513750 609650 914475 1524125 1828950 3048250 4572375 7620625 9144750 15241250 22861875 45723750