Search a number
-
+
42894834840 = 2332511135091637
BaseRepresentation
bin100111111100101110…
…110011110010011000
311002201102012101100200
4213330232303302120
51200322034203330
631412225102200
73045655036344
oct477456636230
9132642171320
1042894834840
111721201a330
128391487960
134077a352a0
14210cc3a624
1511b0c05a60
hex9fcbb3c98

42894834840 has 384 divisors, whose sum is σ = 164202292800. Its totient is φ = 9574133760.

The previous prime is 42894834839. The next prime is 42894834859. The reversal of 42894834840 is 4843849824.

42894834840 is a `hidden beast` number, since 4 + 2 + 89 + 4 + 83 + 484 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26202502 + ... + 26204138.

Almost surely, 242894834840 is an apocalyptic number.

42894834840 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 42894834840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82101146400).

42894834840 is an abundant number, since it is smaller than the sum of its proper divisors (121307457960).

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

42894834840 is a wasteful number, since it uses less digits than its factorization.

42894834840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 42894834840 in words is "forty-two billion, eight hundred ninety-four million, eight hundred thirty-four thousand, eight hundred forty".