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42517580 = 2257833659
BaseRepresentation
bin1010001000110…
…0010001001100
32222000010011012
42202030101030
541341030310
64115144352
71024251650
oct242142114
988003135
1042517580
11220000a6
12122a50b8
138a68741
14590aa60
153aecc05
hex288c44c

42517580 has 48 divisors (see below), whose sum is σ = 103299840. Its totient is φ = 14397888.

The previous prime is 42517577. The next prime is 42517603. The reversal of 42517580 is 8571524.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9791 + ... + 13449.

It is an arithmetic number, because the mean of its divisors is an integer number (2152080).

Almost surely, 242517580 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 42517580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51649920).

42517580 is an abundant number, since it is smaller than the sum of its proper divisors (60782260).

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

42517580 is a wasteful number, since it uses less digits than its factorization.

42517580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 42517580 is about 6520.5505902493. The cubic root of 42517580 is about 349.0247134274.

The spelling of 42517580 in words is "forty-two million, five hundred seventeen thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 830 1162 1660 2324 2905 3659 5810 7318 11620 14636 18295 25613 36590 51226 73180 102452 128065 256130 303697 512260 607394 1214788 1518485 2125879 3036970 4251758 6073940 8503516 10629395 21258790 42517580