Search a number
-
+
42465150 = 232527131761
BaseRepresentation
bin1010000111111…
…1011101111110
32221220110020100
42201333131332
541332341100
64114101530
71023643050
oct241773576
987813210
1042465150
1121a74772
121227a8a6
138a4a910
1458d58d0
153adc400
hex287f77e

42465150 has 288 divisors, whose sum is σ = 151115328. Its totient is φ = 8294400.

The previous prime is 42465139. The next prime is 42465151. The reversal of 42465150 is 5156424.

42465150 is a `hidden beast` number, since 4 + 2 + 4 + 651 + 5 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42465151) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 696120 + ... + 696180.

It is an arithmetic number, because the mean of its divisors is an integer number (524706).

Almost surely, 242465150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42465150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75557664).

42465150 is an abundant number, since it is smaller than the sum of its proper divisors (108650178).

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

42465150 is a wasteful number, since it uses less digits than its factorization.

42465150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 42465150 is about 6516.5289840528. The cubic root of 42465150 is about 348.8811893232.

The spelling of 42465150 in words is "forty-two million, four hundred sixty-five thousand, one hundred fifty".