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45212112 = 243211172373
BaseRepresentation
bin1010110001111…
…0000111010000
310011002000100200
42230132013100
543033241422
64253015200
71056203511
oct254360720
9104060320
1045212112
1123580590
1213184500
1394a003a
14600ca08
153e812ac
hex2b1e1d0

45212112 has 240 divisors, whose sum is σ = 154597248. Its totient is φ = 12165120.

The previous prime is 45212093. The next prime is 45212117. The reversal of 45212112 is 21121254.

45212112 is a `hidden beast` number, since 452 + 1 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45212117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619308 + ... + 619380.

Almost surely, 245212112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77298624).

45212112 is an abundant number, since it is smaller than the sum of its proper divisors (109385136).

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

45212112 is a wasteful number, since it uses less digits than its factorization.

45212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 129 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 45212112 is about 6723.9952409263. The cubic root of 45212112 is about 356.2473137378.

Adding to 45212112 its reverse (21121254), we get a palindrome (66333366).

The spelling of 45212112 in words is "forty-five million, two hundred twelve thousand, one hundred twelve".