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45007431 = 373191229
BaseRepresentation
bin1010101110110…
…0001001000111
310010200121120220
42223230021013
543010214211
64244355423
71054362000
oct253541107
9103617526
1045007431
1123450827
12130a5b73
13942ab21
145d981a7
153e40806
hex2aec247

45007431 has 32 divisors (see below), whose sum is σ = 70656000. Its totient is φ = 25472160.

The previous prime is 45007427. The next prime is 45007433. The reversal of 45007431 is 13470054.

45007431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45007431 - 22 = 45007427 is a prime.

It is a super-2 number, since 2×450074312 = 4051337690439522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45007433) 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 31 ways as a sum of consecutive naturals, for example, 196425 + ... + 196653.

It is an arithmetic number, because the mean of its divisors is an integer number (2208000).

Almost surely, 245007431 is an apocalyptic number.

45007431 is a deficient number, since it is larger than the sum of its proper divisors (25648569).

45007431 is a wasteful number, since it uses less digits than its factorization.

45007431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 45007431 is about 6708.7577836735. The cubic root of 45007431 is about 355.7089080930.

Adding to 45007431 its reverse (13470054), we get a palindrome (58477485).

The spelling of 45007431 in words is "forty-five million, seven thousand, four hundred thirty-one".

Divisors: 1 3 7 21 49 147 191 229 343 573 687 1029 1337 1603 4011 4809 9359 11221 28077 33663 43739 65513 78547 131217 196539 235641 306173 918519 2143211 6429633 15002477 45007431