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42345150 = 23521971433
BaseRepresentation
bin1010000110001…
…0001010111110
32221200100121220
42201202022332
541320021100
64111334210
71022633151
oct241421276
987610556
1042345150
11219a25a1
1212221366
138a08103
1458a3c98
153ab6aa0
hex28622be

42345150 has 48 divisors (see below), whose sum is σ = 105622704. Its totient is φ = 11226880.

The previous prime is 42345097. The next prime is 42345157. The reversal of 42345150 is 5154324.

It is a super-3 number, since 3×423451503 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 42345150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42345157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28834 + ... + 30266.

It is an arithmetic number, because the mean of its divisors is an integer number (2200473).

Almost surely, 242345150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42345150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52811352).

42345150 is an abundant number, since it is smaller than the sum of its proper divisors (63277554).

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

42345150 is a wasteful number, since it uses less digits than its factorization.

42345150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 42345150 is about 6507.3151145461. The cubic root of 42345150 is about 348.5522510437.

Adding to 42345150 its reverse (5154324), we get a palindrome (47499474).

The spelling of 42345150 in words is "forty-two million, three hundred forty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 197 394 591 985 1182 1433 1970 2866 2955 4299 4925 5910 7165 8598 9850 14330 14775 21495 29550 35825 42990 71650 107475 214950 282301 564602 846903 1411505 1693806 2823010 4234515 7057525 8469030 14115050 21172575 42345150