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82479780 = 22325736277
BaseRepresentation
bin1001110101010…
…00101010100100
312202012101222200
410322220222210
5132103323110
612103454500
72021031555
oct472505244
9182171880
1082479780
1142615309
1223757430
131411b006
14ad5032c
1573936c0
hex4ea8aa4

82479780 has 72 divisors (see below), whose sum is σ = 253656312. Its totient is φ = 21689856.

The previous prime is 82479757. The next prime is 82479791. The reversal of 82479780 is 8797428.

It can be written as a sum of positive squares in 4 ways, for example, as 32012964 + 50466816 = 5658^2 + 7104^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10002 + ... + 16278.

Almost surely, 282479780 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 82479780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126828156).

82479780 is an abundant number, since it is smaller than the sum of its proper divisors (171176532).

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

82479780 is a wasteful number, since it uses less digits than its factorization.

82479780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6365 (or 6360 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 82479780 is about 9081.8379197165. The cubic root of 82479780 is about 435.2938165612.

The spelling of 82479780 in words is "eighty-two million, four hundred seventy-nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6277 6570 12554 13140 18831 25108 31385 37662 56493 62770 75324 94155 112986 125540 188310 225972 282465 376620 458221 564930 916442 1129860 1374663 1832884 2291105 2749326 4123989 4582210 5498652 6873315 8247978 9164420 13746630 16495956 20619945 27493260 41239890 82479780