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42516750 = 235383683
BaseRepresentation
bin1010001000110…
…0000100001110
32222000002000110
42202030010032
541341014000
64115140450
71024246353
oct242140416
988002013
1042516750
1121aaa511
12122a4726
138a68253
14590a62a
153aec850
hex288c10e

42516750 has 64 divisors (see below), whose sum is σ = 107557632. Its totient is φ = 11184800.

The previous prime is 42516743. The next prime is 42516751. The reversal of 42516750 is 5761524.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42516751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61909 + ... + 62591.

It is an arithmetic number, because the mean of its divisors is an integer number (1680588).

Almost surely, 242516750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42516750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53778816).

42516750 is an abundant number, since it is smaller than the sum of its proper divisors (65040882).

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

42516750 is a wasteful number, since it uses less digits than its factorization.

42516750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 42516750 is about 6520.4869450065. The cubic root of 42516750 is about 349.0224422697.

The spelling of 42516750 in words is "forty-two million, five hundred sixteen thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 83 125 150 166 249 250 375 415 498 683 750 830 1245 1366 2049 2075 2490 3415 4098 4150 6225 6830 10245 10375 12450 17075 20490 20750 31125 34150 51225 56689 62250 85375 102450 113378 170067 170750 256125 283445 340134 512250 566890 850335 1417225 1700670 2834450 4251675 7086125 8503350 14172250 21258375 42516750