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45843920 = 2457572
BaseRepresentation
bin1010111011100…
…0010111010000
310012021010000222
42232320113100
543214001140
64314332212
71064444513
oct256702720
9105233028
1045843920
1123972241
121342a068
1396617a5
146134d7a
1540585b5
hex2bb85d0

45843920 has 30 divisors (see below), whose sum is σ = 106728102. Its totient is φ = 18313344.

The previous prime is 45843907. The next prime is 45843929. The reversal of 45843920 is 2934854.

45843920 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 3 ways, for example, as 8340544 + 37503376 = 2888^2 + 6124^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45843929) 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 5 ways as a sum of consecutive naturals, for example, 60182 + ... + 60938.

Almost surely, 245843920 is an apocalyptic number.

45843920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45843920 is an abundant number, since it is smaller than the sum of its proper divisors (60884182).

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

45843920 is an frugal number, since it uses more digits than its factorization.

45843920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 45843920 is about 6770.8138358694. The cubic root of 45843920 is about 357.8990799874.

The spelling of 45843920 in words is "forty-five million, eight hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 757 1514 3028 3785 6056 7570 12112 15140 30280 60560 573049 1146098 2292196 2865245 4584392 5730490 9168784 11460980 22921960 45843920