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45212672 = 21067659
BaseRepresentation
bin1010110001111…
…0010000000000
310011002001010102
42230132100000
543033301142
64253021532
71056205241
oct254362000
9104061112
1045212672
1123580a4a
12131848a8
1394a037b
14600ccc8
153e81532
hex2b1e400

45212672 has 44 divisors (see below), whose sum is σ = 91869360. Its totient is φ = 22235136.

The previous prime is 45212633. The next prime is 45212677. The reversal of 45212672 is 27621254.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (45212677) 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, 68279 + ... + 68937.

It is an arithmetic number, because the mean of its divisors is an integer number (2087940).

Almost surely, 245212672 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 45212672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45934680).

45212672 is an abundant number, since it is smaller than the sum of its proper divisors (46656688).

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

45212672 is an equidigital number, since it uses as much as digits as its factorization.

45212672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 728 counting only the distinct ones).

The product of its digits is 6720, while the sum is 29.

The square root of 45212672 is about 6724.0368827067. The cubic root of 45212672 is about 356.2487845655.

The spelling of 45212672 in words is "forty-five million, two hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 512 536 659 1024 1072 1318 2144 2636 4288 5272 8576 10544 17152 21088 34304 42176 44153 68608 84352 88306 168704 176612 337408 353224 674816 706448 1412896 2825792 5651584 11303168 22606336 45212672