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45562500 = 223656
BaseRepresentation
bin1010110111001…
…1101010000100
310011201211000000
42231303222010
543131000000
64304321300
71062163164
oct255635204
9104654000
1045562500
112379a865
1213313230
139593679
1460a05a4
154000000
hex2b73a84

45562500 has 147 divisors (see below), whose sum is σ = 149431681. Its totient is φ = 12150000.

The previous prime is 45562487. The next prime is 45562507. The reversal of 45562500 is 526554.

The square root of 45562500 is 6750.

It is a perfect power (a square), and thus also a powerful number.

45562500 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 39917124 + 5645376 = 6318^2 + 2376^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (45562507) 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 48 ways as a sum of consecutive naturals, for example, 9112498 + ... + 9112502.

Almost surely, 245562500 is an apocalyptic number.

45562500 is the 6750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45562500

45562500 is an abundant number, since it is smaller than the sum of its proper divisors (103869181).

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

45562500 is an frugal number, since it uses more digits than its factorization.

45562500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The cubic root of 45562500 is about 357.1652366928.

It can be divided in two parts, 4556 and 2500, that added together give a square (7056 = 842).

The spelling of 45562500 in words is "forty-five million, five hundred sixty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 125 135 150 162 180 225 243 250 270 300 324 375 405 450 486 500 540 625 675 729 750 810 900 972 1125 1215 1250 1350 1458 1500 1620 1875 2025 2250 2430 2500 2700 2916 3125 3375 3645 3750 4050 4500 4860 5625 6075 6250 6750 7290 7500 8100 9375 10125 11250 12150 12500 13500 14580 15625 16875 18225 18750 20250 22500 24300 28125 30375 31250 33750 36450 37500 40500 46875 50625 56250 60750 62500 67500 72900 84375 91125 93750 101250 112500 121500 140625 151875 168750 182250 187500 202500 253125 281250 303750 337500 364500 421875 455625 506250 562500 607500 759375 843750 911250 1012500 1265625 1518750 1687500 1822500 2278125 2531250 3037500 3796875 4556250 5062500 7593750 9112500 11390625 15187500 22781250 45562500