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45012500 = 225513277
BaseRepresentation
bin1010101110110…
…1011000010100
310010200212112122
42223231120110
543010400000
64244435112
71054412531
oct253553024
9103625478
1045012500
1123454615
12130a8a98
139430220
145d99d88
153e42085
hex2aed614

45012500 has 72 divisors (see below), whose sum is σ = 106415064. Its totient is φ = 16560000.

The previous prime is 45012491. The next prime is 45012523. The reversal of 45012500 is 521054.

45012500 is digitally balanced in base 2 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 40119556 + 4892944 = 6334^2 + 2212^2 .

It is a super-2 number, since 2×450125002 = 4052250312500000, which contains 22 as substring.

45012500 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

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, 162362 + ... + 162638.

It is an arithmetic number, because the mean of its divisors is an integer number (1477987).

Almost surely, 245012500 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 45012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53207532).

45012500 is an abundant number, since it is smaller than the sum of its proper divisors (61402564).

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

45012500 is a wasteful number, since it uses less digits than its factorization.

45012500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 45012500 is about 6709.1355627979. The cubic root of 45012500 is about 355.7222615973.

Adding to 45012500 its reverse (521054), we get a palindrome (45533554).

The spelling of 45012500 in words is "forty-five million, twelve thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 277 325 500 554 625 650 1108 1250 1300 1385 1625 2500 2770 3125 3250 3601 5540 6250 6500 6925 7202 8125 12500 13850 14404 16250 18005 27700 32500 34625 36010 40625 69250 72020 81250 90025 138500 162500 173125 180050 346250 360100 450125 692500 865625 900250 1731250 1800500 2250625 3462500 4501250 9002500 11253125 22506250 45012500