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45616005 = 3253727397
BaseRepresentation
bin1010111000000…
…0101110000101
310011211112101200
42232000232011
543134203010
64305413113
71062505161
oct256005605
9104745350
1045616005
1123826a86
121333a199
1395b1b26
1460b5ca1
154010cc0
hex2b80b85

45616005 has 24 divisors (see below), whose sum is σ = 81207672. Its totient is φ = 23670144.

The previous prime is 45616003. The next prime is 45616007. The reversal of 45616005 is 50061654.

It is a happy number.

45616005 is a `hidden beast` number, since 4 + 56 + 1 + 600 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (45616003) and next prime (45616007).

It can be written as a sum of positive squares in 4 ways, for example, as 17164449 + 28451556 = 4143^2 + 5334^2 .

It is not a de Polignac number, because 45616005 - 21 = 45616003 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45616005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45616001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12034 + ... + 15363.

It is an arithmetic number, because the mean of its divisors is an integer number (3383653).

Almost surely, 245616005 is an apocalyptic number.

45616005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45616005 is a deficient number, since it is larger than the sum of its proper divisors (35591667).

45616005 is a wasteful number, since it uses less digits than its factorization.

45616005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27445 (or 27442 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 45616005 is about 6753.9621704596. The cubic root of 45616005 is about 357.3049908795.

Adding to 45616005 its reverse (50061654), we get a palindrome (95677659).

It can be divided in two parts, 456 and 16005, that added together give a palindrome (16461).

The spelling of 45616005 in words is "forty-five million, six hundred sixteen thousand, five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 27397 82191 136985 246573 410955 1013689 1232865 3041067 5068445 9123201 15205335 45616005