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66564750 = 2353731409
BaseRepresentation
bin1111110111101…
…1001010001110
311122020211200010
43331323022032
5114020033000
610334414050
71435535220
oct375731216
9148224603
1066564750
113463509a
121a361326
1310a38035
148baa410
155c9cd50
hex3f7b28e

66564750 has 128 divisors (see below), whose sum is σ = 196485120. Its totient is φ = 14688000.

The previous prime is 66564749. The next prime is 66564761. The reversal of 66564750 is 5746566.

It is a junction number, because it is equal to n+sod(n) for n = 66564699 and 66564708.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 162546 + ... + 162954.

It is an arithmetic number, because the mean of its divisors is an integer number (1535040).

Almost surely, 266564750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66564750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98242560).

66564750 is an abundant number, since it is smaller than the sum of its proper divisors (129920370).

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

66564750 is a wasteful number, since it uses less digits than its factorization.

66564750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 66564750 is about 8158.7223264430. The cubic root of 66564750 is about 405.2734017378.

The spelling of 66564750 in words is "sixty-six million, five hundred sixty-four thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 31 35 42 50 62 70 75 93 105 125 150 155 175 186 210 217 250 310 350 375 409 434 465 525 651 750 775 818 875 930 1050 1085 1227 1302 1550 1750 2045 2170 2325 2454 2625 2863 3255 3875 4090 4650 5250 5425 5726 6135 6510 7750 8589 10225 10850 11625 12270 12679 14315 16275 17178 20450 23250 25358 27125 28630 30675 32550 38037 42945 51125 54250 61350 63395 71575 76074 81375 85890 88753 102250 126790 143150 153375 162750 177506 190185 214725 266259 306750 316975 357875 380370 429450 443765 532518 633950 715750 887530 950925 1073625 1331295 1584875 1901850 2147250 2218825 2662590 3169750 4437650 4754625 6656475 9509250 11094125 13312950 22188250 33282375 66564750