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45124096 = 29312843
BaseRepresentation
bin1010110000100…
…0101000000000
310010220112121211
42230020220000
543022432341
64251055504
71055356063
oct254105000
9103815554
1045124096
1123520446
1213141594
13946bc64
145dc88da
153e65181
hex2b08a00

45124096 has 40 divisors (see below), whose sum is σ = 93101184. Its totient is φ = 21826560.

The previous prime is 45124061. The next prime is 45124097. The reversal of 45124096 is 69042154.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (45124097) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 14451 + ... + 17293.

Almost surely, 245124096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45124096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46550592).

45124096 is an abundant number, since it is smaller than the sum of its proper divisors (47977088).

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

45124096 is an equidigital number, since it uses as much as digits as its factorization.

45124096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 45124096 is about 6717.4471341426. The cubic root of 45124096 is about 356.0159905286.

The spelling of 45124096 in words is "forty-five million, one hundred twenty-four thousand, ninety-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1984 2843 3968 5686 7936 11372 15872 22744 45488 88133 90976 176266 181952 352532 363904 705064 727808 1410128 1455616 2820256 5640512 11281024 22562048 45124096