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45198945 = 3351122767
BaseRepresentation
bin1010110001101…
…0111001100001
310011001100022000
42230122321201
543032331240
64252434213
71056120231
oct254327141
9104040260
1045198945
1123571700
1213178969
13949704c
146007cc1
153e7c430
hex2b1ae61

45198945 has 48 divisors (see below), whose sum is σ = 88354560. Its totient is φ = 21906720.

The previous prime is 45198931. The next prime is 45198949. The reversal of 45198945 is 54989154.

45198945 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45198945 - 213 = 45190753 is a prime.

It is a super-2 number, since 2×451989452 = 4085889258226050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 45198945.

It is not an unprimeable number, because it can be changed into a prime (45198949) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 14952 + ... + 17718.

It is an arithmetic number, because the mean of its divisors is an integer number (1840720).

Almost surely, 245198945 is an apocalyptic number.

45198945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45198945 is a deficient number, since it is larger than the sum of its proper divisors (43155615).

45198945 is a wasteful number, since it uses less digits than its factorization.

45198945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803 (or 2786 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 45198945 is about 6723.0160642378. The cubic root of 45198945 is about 356.2127274024.

The spelling of 45198945 in words is "forty-five million, one hundred ninety-eight thousand, nine hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 121 135 165 297 363 495 605 1089 1485 1815 2767 3267 5445 8301 13835 16335 24903 30437 41505 74709 91311 124515 152185 273933 334807 373545 456555 821799 1004421 1369665 1674035 3013263 4108995 5022105 9039789 15066315 45198945