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45151008 = 253767189
BaseRepresentation
bin1010110000111…
…1001100100000
310010221220112120
42230033030200
543024313013
64251424240
71055530410
oct254171440
9103856476
1045151008
1123539691
1213155080
13947b296
145dd4640
153e6d123
hex2b0f320

45151008 has 48 divisors (see below), whose sum is σ = 135455040. Its totient is φ = 12900096.

The previous prime is 45150983. The next prime is 45151009. The reversal of 45151008 is 80015154.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×451510082 = 4077227046832128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45151009) 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 7 ways as a sum of consecutive naturals, for example, 32923 + ... + 34266.

It is an arithmetic number, because the mean of its divisors is an integer number (2821980).

Almost surely, 245151008 is an apocalyptic number.

45151008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45151008 is an abundant number, since it is smaller than the sum of its proper divisors (90304032).

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

45151008 is a wasteful number, since it uses less digits than its factorization.

45151008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67209 (or 67201 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 45151008 is about 6719.4499774907. The cubic root of 45151008 is about 356.0867524134.

The spelling of 45151008 in words is "forty-five million, one hundred fifty-one thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 67189 134378 201567 268756 403134 470323 537512 806268 940646 1075024 1410969 1612536 1881292 2150048 2821938 3225072 3762584 5643876 6450144 7525168 11287752 15050336 22575504 45151008