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45384444 = 22327180097
BaseRepresentation
bin1010110100100…
…0001011111100
310011101202202100
42231020023330
543104300234
64300425100
71060522110
oct255101374
9104352670
1045384444
1123689006
1213248190
139530601
146055740
153eb7399
hex2b482fc

45384444 has 36 divisors (see below), whose sum is σ = 131111344. Its totient is φ = 12966912.

The previous prime is 45384431. The next prime is 45384463. The reversal of 45384444 is 44448354.

45384444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45384399 and 45384408.

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 11 ways as a sum of consecutive naturals, for example, 89797 + ... + 90300.

Almost surely, 245384444 is an apocalyptic number.

It is an amenable number.

45384444 is an abundant number, since it is smaller than the sum of its proper divisors (85726900).

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

45384444 is a wasteful number, since it uses less digits than its factorization.

45384444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180114 (or 180109 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

The square root of 45384444 is about 6736.7977556106. The cubic root of 45384444 is about 356.6993679317.

The spelling of 45384444 in words is "forty-five million, three hundred eighty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 180097 360194 540291 720388 1080582 1260679 1620873 2161164 2521358 3241746 3782037 5042716 6483492 7564074 11346111 15128148 22692222 45384444