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45384832 = 271720857
BaseRepresentation
bin1010110100100…
…0010010000000
310011101210021201
42231020102000
543104303312
64300430544
71060523203
oct255102200
9104353251
1045384832
1123689329
1213248454
13953083c
14605593a
153eb7557
hex2b48480

45384832 has 32 divisors (see below), whose sum is σ = 95738220. Its totient is φ = 21356544.

The previous prime is 45384817. The next prime is 45384839. The reversal of 45384832 is 23848354.

It can be written as a sum of positive squares in 2 ways, for example, as 36288576 + 9096256 = 6024^2 + 3016^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 45384791 and 45384800.

It is not an unprimeable number, because it can be changed into a prime (45384839) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8253 + ... + 12604.

Almost surely, 245384832 is an apocalyptic number.

It is an amenable number.

45384832 is an abundant number, since it is smaller than the sum of its proper divisors (50353388).

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

45384832 is a wasteful number, since it uses less digits than its factorization.

45384832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20888 (or 20876 counting only the distinct ones).

The product of its digits is 92160, while the sum is 37.

The square root of 45384832 is about 6736.8265526136. The cubic root of 45384832 is about 356.7003844251.

The spelling of 45384832 in words is "forty-five million, three hundred eighty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 20857 41714 83428 166856 333712 354569 667424 709138 1334848 1418276 2669696 2836552 5673104 11346208 22692416 45384832