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45649324 = 22719531619
BaseRepresentation
bin1010111000100…
…0110110101100
310011220020002201
42232020312230
543141234244
64310231244
71063004260
oct256106654
9104806081
1045649324
112384a016
1213355524
1395c4046
1460c40a0
15401aad4
hex2b88dac

45649324 has 48 divisors (see below), whose sum is σ = 97977600. Its totient is φ = 18173376.

The previous prime is 45649297. The next prime is 45649327. The reversal of 45649324 is 42394654.

It is a happy number.

45649324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45649327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27387 + ... + 29005.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 245649324 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 45649324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48988800).

45649324 is an abundant number, since it is smaller than the sum of its proper divisors (52328276).

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

45649324 is a wasteful number, since it uses less digits than its factorization.

45649324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1700 counting only the distinct ones).

The product of its digits is 103680, while the sum is 37.

The square root of 45649324 is about 6756.4283463972. The cubic root of 45649324 is about 357.3919643558.

The spelling of 45649324 in words is "forty-five million, six hundred forty-nine thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 38 53 76 106 133 212 266 371 532 742 1007 1484 1619 2014 3238 4028 6476 7049 11333 14098 22666 28196 30761 45332 61522 85807 123044 171614 215327 343228 430654 600649 861308 1201298 1630333 2402596 3260666 6521332 11412331 22824662 45649324