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45001512 = 23326171013
BaseRepresentation
bin1010101110101…
…0101100101000
310010200022110200
42223222230220
543010022022
64244312200
71054335513
oct253525450
9103608420
1045001512
1123447336
12130a2660
13942821a
145d95d7a
153e3dbac
hex2aeab28

45001512 has 48 divisors (see below), whose sum is σ = 122197140. Its totient is φ = 14961408.

The previous prime is 45001511. The next prime is 45001531. The reversal of 45001512 is 21510054.

45001512 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 2 ways, for example, as 27311076 + 17690436 = 5226^2 + 4206^2 .

It is a super-2 number, since 2×450015122 = 4050272164572288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (45001511) 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 11 ways as a sum of consecutive naturals, for example, 43918 + ... + 44930.

Almost surely, 245001512 is an apocalyptic number.

It is an amenable number.

45001512 is an abundant number, since it is smaller than the sum of its proper divisors (77195628).

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

45001512 is a wasteful number, since it uses less digits than its factorization.

45001512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 45001512 is about 6708.3166293788. The cubic root of 45001512 is about 355.6933141249.

Adding to 45001512 its reverse (21510054), we get a palindrome (66511566).

The spelling of 45001512 in words is "forty-five million, one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 617 1013 1234 1851 2026 2468 3039 3702 4052 4936 5553 6078 7404 8104 9117 11106 12156 14808 18234 22212 24312 36468 44424 72936 625021 1250042 1875063 2500084 3750126 5000168 5625189 7500252 11250378 15000504 22500756 45001512