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645828546 = 231122338677
BaseRepresentation
bin100110011111101…
…000111111000010
31200000020111012210
4212133220333002
52310313003141
6144030202550
722001311026
oct4637507702
91600214183
10645828546
1130160a600
12160353456
13a3a5338c
1461ab6386
153ba71916
hex267e8fc2

645828546 has 48 divisors (see below), whose sum is σ = 1481522112. Its totient is φ = 187191840.

The previous prime is 645828541. The next prime is 645828577.

645828546 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 645828495 and 645828504.

It is not an unprimeable number, because it can be changed into a prime (645828541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2641 + ... + 36036.

It is an arithmetic number, because the mean of its divisors is an integer number (30865044).

Almost surely, 2645828546 is an apocalyptic number.

645828546 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

645828546 is an abundant number, since it is smaller than the sum of its proper divisors (835693566).

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

645828546 is a wasteful number, since it uses less digits than its factorization.

645828546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38727 (or 38716 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 48.

The square root of 645828546 is about 25413.1569467471. The cubic root of 645828546 is about 864.3820621437.

The spelling of 645828546 in words is "six hundred forty-five million, eight hundred twenty-eight thousand, five hundred forty-six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 121 138 242 253 363 506 726 759 1518 2783 5566 8349 16698 38677 77354 116031 232062 425447 850894 889571 1276341 1779142 2552682 2668713 4679917 5337426 9359834 9785281 14039751 19570562 28079502 29355843 58711686 107638091 215276182 322914273 645828546