Search a number
-
+
42491160 = 233251753131
BaseRepresentation
bin1010001000010…
…1110100011000
32221221202220200
42202011310120
541334204120
64114422200
71024111635
oct242056430
987852820
1042491160
1121a92268
1212291960
138a596ca
14590118c
153ae4e90
hex2885d18

42491160 has 192 divisors, whose sum is σ = 150115680. Its totient is φ = 10383360.

The previous prime is 42491147. The next prime is 42491171. The reversal of 42491160 is 6119424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324295 + ... + 324425.

Almost surely, 242491160 is an apocalyptic number.

42491160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42491160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75057840).

42491160 is an abundant number, since it is smaller than the sum of its proper divisors (107624520).

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

42491160 is a wasteful number, since it uses less digits than its factorization.

42491160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 42491160 is about 6518.5243728930. The cubic root of 42491160 is about 348.9524049566.

The spelling of 42491160 in words is "forty-two million, four hundred ninety-one thousand, one hundred sixty".