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42517740 = 22353122859
BaseRepresentation
bin1010001000110…
…0010011101100
32222000010101010
42202030103230
541341031430
64115145220
71024252266
oct242142354
988003333
1042517740
1122000231
12122a5210
138a68835
14590ab36
153aeccb0
hex288c4ec

42517740 has 48 divisors (see below), whose sum is σ = 122895360. Its totient is φ = 10971840.

The previous prime is 42517729. The next prime is 42517747. The reversal of 42517740 is 4771524.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 42517698 and 42517707.

It is not an unprimeable number, because it can be changed into a prime (42517747) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9570 + ... + 13289.

It is an arithmetic number, because the mean of its divisors is an integer number (2560320).

Almost surely, 242517740 is an apocalyptic number.

It is an amenable number.

42517740 is an abundant number, since it is smaller than the sum of its proper divisors (80377620).

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

42517740 is a wasteful number, since it uses less digits than its factorization.

42517740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22902 (or 22900 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 42517740 is about 6520.5628591403. The cubic root of 42517740 is about 349.0251512376.

The spelling of 42517740 in words is "forty-two million, five hundred seventeen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 22859 45718 68577 91436 114295 137154 228590 274308 342885 457180 685770 708629 1371540 1417258 2125887 2834516 3543145 4251774 7086290 8503548 10629435 14172580 21258870 42517740