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45004288 = 29729433
BaseRepresentation
bin1010101110101…
…1011000000000
310010200110021111
42223223120000
543010114123
64244333104
71054346560
oct253533000
9103613244
1045004288
112344942a
12130a4194
139429574
145d96da0
153e3e90d
hex2aeb600

45004288 has 80 divisors (see below), whose sum is σ = 106555680. Its totient is φ = 18579456.

The previous prime is 45004249. The next prime is 45004291. The reversal of 45004288 is 88240054.

It is a congruent number.

It is an unprimeable number.

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, 103720 + ... + 104152.

It is an arithmetic number, because the mean of its divisors is an integer number (1331946).

Almost surely, 245004288 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 45004288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53277840).

45004288 is an abundant number, since it is smaller than the sum of its proper divisors (61551392).

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

45004288 is an equidigital number, since it uses as much as digits as its factorization.

45004288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 45004288 is about 6708.5235335355. The cubic root of 45004288 is about 355.7006278372.

The spelling of 45004288 in words is "forty-five million, four thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 433 448 464 512 812 866 896 928 1624 1732 1792 1856 3031 3248 3464 3584 3712 6062 6496 6928 7424 12124 12557 12992 13856 14848 24248 25114 25984 27712 48496 50228 51968 55424 87899 96992 100456 103936 110848 175798 193984 200912 221696 351596 387968 401824 703192 775936 803648 1406384 1551872 1607296 2812768 3214592 5625536 6429184 11251072 22502144 45004288