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45163008 = 2936112
BaseRepresentation
bin1010110001001…
…0001000000000
310010222112000000
42230102020000
543030204013
64252000000
71055610402
oct254221000
9103875000
1045163008
1123547700
1213160000
139483897
145dd8b72
153e71973
hex2b12200

45163008 has 210 divisors, whose sum is σ = 148712487. Its totient is φ = 13685760.

The previous prime is 45162991. The next prime is 45163031. The reversal of 45163008 is 80036154.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 22581504 + 22581504 = 4752^2 + 4752^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4752.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 4105723 + ... + 4105733.

Almost surely, 245163008 is an apocalyptic number.

45163008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45163008

45163008 is an abundant number, since it is smaller than the sum of its proper divisors (103549479).

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

45163008 is an frugal number, since it uses more digits than its factorization.

45163008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 45163008 is about 6720.3428483969. The cubic root of 45163008 is about 356.1182959139.

The spelling of 45163008 in words is "forty-five million, one hundred sixty-three thousand, eight".