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42582660 = 22352359523
BaseRepresentation
bin1010001001110…
…0001010000100
32222010102102120
42202130022010
541400121120
64120405540
71024642461
oct242341204
988112376
1042582660
1122044a8a
12123168b0
138a8c253
145926668
153b12140
hex289c284

42582660 has 96 divisors (see below), whose sum is σ = 126766080. Its totient is φ = 10657152.

The previous prime is 42582649. The next prime is 42582677. The reversal of 42582660 is 6628524.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81159 + ... + 81681.

It is an arithmetic number, because the mean of its divisors is an integer number (1320480).

Almost surely, 242582660 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 42582660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63383040).

42582660 is an abundant number, since it is smaller than the sum of its proper divisors (84183420).

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

42582660 is a wasteful number, since it uses less digits than its factorization.

42582660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 42582660 is about 6525.5390581928. The cubic root of 42582660 is about 349.2027021463.

The spelling of 42582660 in words is "forty-two million, five hundred eighty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 59 60 69 92 115 118 138 177 230 236 276 295 345 354 460 523 590 690 708 885 1046 1180 1357 1380 1569 1770 2092 2615 2714 3138 3540 4071 5230 5428 6276 6785 7845 8142 10460 12029 13570 15690 16284 20355 24058 27140 30857 31380 36087 40710 48116 60145 61714 72174 81420 92571 120290 123428 144348 154285 180435 185142 240580 308570 360870 370284 462855 617140 709711 721740 925710 1419422 1851420 2129133 2838844 3548555 4258266 7097110 8516532 10645665 14194220 21291330 42582660