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45328842 = 2331324967
BaseRepresentation
bin1010110011101…
…0100111001010
310011021221111000
42230322213022
543101010332
64255315430
71060201026
oct254724712
9104257430
1045328842
1123650259
121321bb76
139511200
14603d386
153ea5b7c
hex2b3a9ca

45328842 has 48 divisors (see below), whose sum is σ = 109097280. Its totient is φ = 13944528.

The previous prime is 45328831. The next prime is 45328847. The reversal of 45328842 is 24882354.

45328842 is a `hidden beast` number, since 4 + 532 + 88 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45328797 and 45328806.

It is not an unprimeable number, because it can be changed into a prime (45328847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6643 + ... + 11609.

It is an arithmetic number, because the mean of its divisors is an integer number (2272860).

Almost surely, 245328842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45328842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54548640).

45328842 is an abundant number, since it is smaller than the sum of its proper divisors (63768438).

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

45328842 is a wasteful number, since it uses less digits than its factorization.

45328842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5004 (or 4985 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 45328842 is about 6732.6697527801. The cubic root of 45328842 is about 356.5536402956.

The spelling of 45328842 in words is "forty-five million, three hundred twenty-eight thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 507 702 1014 1521 3042 4563 4967 9126 9934 14901 29802 44703 64571 89406 129142 134109 193713 268218 387426 581139 839423 1162278 1678846 1743417 2518269 3486834 5036538 7554807 15109614 22664421 45328842