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42350 = 2527112
BaseRepresentation
bin1010010101101110
32011002112
422111232
52323400
6524022
7234320
oct122556
964075
1042350
1129900
1220612
1316379
1411610
15c835
hexa56e

42350 has 36 divisors (see below), whose sum is σ = 98952. Its totient is φ = 13200.

The previous prime is 42349. The next prime is 42359. The reversal of 42350 is 5324.

42350 = T20 + T21 + ... + T63.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Curzon number.

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42359) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3845 + ... + 3855.

242350 is an apocalyptic number.

42350 is an abundant number, since it is smaller than the sum of its proper divisors (56602).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49476).

42350 is a wasteful number, since it uses less digits than its factorization.

42350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 42350 is about 205.7911562726. The cubic root of 42350 is about 34.8565557675.

Multiplying 42350 by its sum of digits (14), we get a square (592900 = 7702).

42350 divided by its sum of digits (14) gives a square (3025 = 552).

Adding to 42350 its reverse (5324), we get a palindrome (47674).

The spelling of 42350 in words is "forty-two thousand, three hundred fifty".

Divisors: 1 2 5 7 10 11 14 22 25 35 50 55 70 77 110 121 154 175 242 275 350 385 550 605 770 847 1210 1694 1925 3025 3850 4235 6050 8470 21175 42350