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45312064 = 267214449
BaseRepresentation
bin1010110011011…
…0100001000000
310011021002110121
42230312201000
543044441224
64255110024
71060101100
oct254664100
9104232417
1045312064
1123639696
1213212314
139506695
146037200
153ea0be4
hex2b36840

45312064 has 42 divisors (see below), whose sum is σ = 104603550. Its totient is φ = 19418112.

The previous prime is 45312061. The next prime is 45312073. The reversal of 45312064 is 46021354.

It can be written as a sum of positive squares in only one way, i.e., 45158400 + 153664 = 6720^2 + 392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45312061) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4089 + ... + 10360.

Almost surely, 245312064 is an apocalyptic number.

It is an amenable number.

45312064 is an abundant number, since it is smaller than the sum of its proper divisors (59291486).

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

45312064 is a wasteful number, since it uses less digits than its factorization.

45312064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14475 (or 14458 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 45312064 is about 6731.4236235732. The cubic root of 45312064 is about 356.5096433248.

The spelling of 45312064 in words is "forty-five million, three hundred twelve thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 14449 28898 57796 101143 115592 202286 231184 404572 462368 708001 809144 924736 1416002 1618288 2832004 3236576 5664008 6473152 11328016 22656032 45312064