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45909135 = 32541149167
BaseRepresentation
bin1010111100100…
…0010010001111
310012101102111100
42233020102033
543223043020
64315554143
71065135606
oct257102217
9105342440
1045909135
1123a07238
121345b953
13968538c
146150a3d
15406ca90
hex2bc848f

45909135 has 48 divisors (see below), whose sum is σ = 82555200. Its totient is φ = 23585280.

The previous prime is 45909121. The next prime is 45909167. The reversal of 45909135 is 53190954.

45909135 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 45909135 - 210 = 45908111 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45909135.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 274822 + ... + 274988.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 245909135 is an apocalyptic number.

45909135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45909135 is a deficient number, since it is larger than the sum of its proper divisors (36646065).

45909135 is a wasteful number, since it uses less digits than its factorization.

45909135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 45909135 is about 6775.6280151732. The cubic root of 45909135 is about 358.0687086583.

The spelling of 45909135 in words is "forty-five million, nine hundred nine thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 41 45 123 149 167 205 369 447 501 615 745 835 1341 1503 1845 2235 2505 6109 6705 6847 7515 18327 20541 24883 30545 34235 54981 61623 74649 91635 102705 124415 223947 274905 308115 373245 1020203 1119735 3060609 5101015 9181827 15303045 45909135