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42517720 = 2357151849
BaseRepresentation
bin1010001000110…
…0010011011000
32222000010100101
42202030103120
541341031340
64115145144
71024252240
oct242142330
988003311
1042517720
1122000213
12122a51b4
138a6881b
14590ab20
153aecc9a
hex288c4d8

42517720 has 32 divisors (see below), whose sum is σ = 109332000. Its totient is φ = 14577408.

The previous prime is 42517693. The next prime is 42517723. The reversal of 42517720 is 2771524.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42517723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75645 + ... + 76204.

It is an arithmetic number, because the mean of its divisors is an integer number (3416625).

Almost surely, 242517720 is an apocalyptic number.

42517720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42517720 is an abundant number, since it is smaller than the sum of its proper divisors (66814280).

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

42517720 is a wasteful number, since it uses less digits than its factorization.

42517720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151867 (or 151863 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 42517720 is about 6520.5613255302. The cubic root of 42517720 is about 349.0250965114.

It can be divided in two parts, 425 and 17720, that added together give a triangular number (18145 = T190).

The spelling of 42517720 in words is "forty-two million, five hundred seventeen thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 151849 303698 607396 759245 1062943 1214792 1518490 2125886 3036980 4251772 5314715 6073960 8503544 10629430 21258860 42517720