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45909936 = 2433106273
BaseRepresentation
bin1010111100100…
…0011110110000
310012101110121000
42233020132300
543223104221
64320002000
71065141132
oct257103660
9105343530
1045909936
1123a078a6
1213460300
139685857
146151052
15406ce26
hex2bc87b0

45909936 has 40 divisors (see below), whose sum is σ = 131779760. Its totient is φ = 15303168.

The previous prime is 45909917. The next prime is 45909943. The reversal of 45909936 is 63990954.

It is a happy number.

45909936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45909891 and 45909900.

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, 52705 + ... + 53568.

It is an arithmetic number, because the mean of its divisors is an integer number (3294494).

Almost surely, 245909936 is an apocalyptic number.

It is an amenable number.

45909936 is an abundant number, since it is smaller than the sum of its proper divisors (85869824).

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

45909936 is a wasteful number, since it uses less digits than its factorization.

45909936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106290 (or 106278 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 45909936 is about 6775.6871238274. The cubic root of 45909936 is about 358.0707911151.

The spelling of 45909936 in words is "forty-five million, nine hundred nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 106273 212546 318819 425092 637638 850184 956457 1275276 1700368 1912914 2550552 2869371 3825828 5101104 5738742 7651656 11477484 15303312 22954968 45909936