Search a number
-
+
42609780 = 22335194153
BaseRepresentation
bin1010001010001…
…0110001110100
32222011210122000
42202202301310
541402003110
64121135300
71025114523
oct242426164
988153560
1042609780
11220633a4
121232a530
138a9b6b5
1459324ba
153b1a1c0
hex28a2c74

42609780 has 96 divisors (see below), whose sum is σ = 139574400. Its totient is φ = 10761984.

The previous prime is 42609773. The next prime is 42609797. The reversal of 42609780 is 8790624.

42609780 is a `hidden beast` number, since 42 + 609 + 7 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8184 + ... + 12336.

It is an arithmetic number, because the mean of its divisors is an integer number (1453900).

Almost surely, 242609780 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 42609780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69787200).

42609780 is an abundant number, since it is smaller than the sum of its proper divisors (96964620).

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

42609780 is a wasteful number, since it uses less digits than its factorization.

42609780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 42609780 is about 6527.6167166892. The cubic root of 42609780 is about 349.2768196979.

The spelling of 42609780 in words is "forty-two million, six hundred nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 4153 5130 8306 10260 12459 16612 20765 24918 37377 41530 49836 62295 74754 78907 83060 112131 124590 149508 157814 186885 224262 236721 249180 315628 373770 394535 448524 473442 560655 710163 747540 789070 946884 1121310 1183605 1420326 1578140 2130489 2242620 2367210 2840652 3550815 4260978 4734420 7101630 8521956 10652445 14203260 21304890 42609780