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45014208 = 263972417
BaseRepresentation
bin1010101110110…
…1110011000000
310010200221212220
42223231303000
543010423313
64244451040
71054420521
oct253556300
9103627786
1045014208
1123455928
12130a9a80
139430c35
145d9a848
153e42823
hex2aedcc0

45014208 has 56 divisors (see below), whose sum is σ = 120377712. Its totient is φ = 14843904.

The previous prime is 45014161. The next prime is 45014219. The reversal of 45014208 is 80241054.

45014208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17416 + ... + 19832.

It is an arithmetic number, because the mean of its divisors is an integer number (2149602).

Almost surely, 245014208 is an apocalyptic number.

45014208 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 45014208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60188856).

45014208 is an abundant number, since it is smaller than the sum of its proper divisors (75363504).

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

45014208 is a wasteful number, since it uses less digits than its factorization.

45014208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 45014208 is about 6709.2628507162. The cubic root of 45014208 is about 355.7267608359.

The spelling of 45014208 in words is "forty-five million, fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 192 194 291 388 582 776 1164 1552 2328 2417 3104 4656 4834 6208 7251 9312 9668 14502 18624 19336 29004 38672 58008 77344 116016 154688 232032 234449 464064 468898 703347 937796 1406694 1875592 2813388 3751184 5626776 7502368 11253552 15004736 22507104 45014208