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42528780 = 22335711251
BaseRepresentation
bin1010001000111…
…1000000001100
32222000200112000
42202033000030
541341410110
64115312300
71024326420
oct242170014
988020460
1042528780
1122008558
12122ab690
138a70878
145910b80
153b011c0
hex288f00c

42528780 has 96 divisors (see below), whose sum is σ = 151226880. Its totient is φ = 9720000.

The previous prime is 42528751. The next prime is 42528833. The reversal of 42528780 is 8782524.

It is a happy number.

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

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, 1846 + ... + 9405.

It is an arithmetic number, because the mean of its divisors is an integer number (1575280).

Almost surely, 242528780 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 42528780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75613440).

42528780 is an abundant number, since it is smaller than the sum of its proper divisors (108698100).

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

42528780 is a wasteful number, since it uses less digits than its factorization.

42528780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11276 (or 11268 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 42528780 is about 6521.4093568798. The cubic root of 42528780 is about 349.0553574857.

The spelling of 42528780 in words is "forty-two million, five hundred twenty-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 11251 22502 33753 45004 56255 67506 78757 101259 112510 135012 157514 168765 202518 225020 236271 303777 315028 337530 393785 405036 472542 506295 607554 675060 708813 787570 945084 1012590 1181355 1215108 1417626 1518885 1575140 2025180 2126439 2362710 2835252 3037770 3544065 4252878 4725420 6075540 7088130 8505756 10632195 14176260 21264390 42528780