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45531792 = 2432316193
BaseRepresentation
bin1010110110110…
…0001010010000
310011200020212200
42231230022100
543124004132
64303523200
71062004515
oct255541220
9104606780
1045531792
1123779789
12132b9500
1395826b7
14609330c
153ee5d7c
hex2b6c290

45531792 has 30 divisors (see below), whose sum is σ = 127426182. Its totient is φ = 15177216.

The previous prime is 45531791. The next prime is 45531799. The reversal of 45531792 is 29713554.

45531792 is a `hidden beast` number, since 4 + 553 + 17 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23853456 + 21678336 = 4884^2 + 4656^2 .

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

It is not an unprimeable number, because it can be changed into a prime (45531791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 157953 + ... + 158240.

Almost surely, 245531792 is an apocalyptic number.

It is an amenable number.

45531792 is an abundant number, since it is smaller than the sum of its proper divisors (81894390).

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

45531792 is a wasteful number, since it uses less digits than its factorization.

45531792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316207 (or 316198 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 45531792 is about 6747.7249499368. The cubic root of 45531792 is about 357.0849784759.

The spelling of 45531792 in words is "forty-five million, five hundred thirty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 316193 632386 948579 1264772 1897158 2529544 2845737 3794316 5059088 5691474 7588632 11382948 15177264 22765896 45531792