Search a number
-
+
94443840 = 2633517643
BaseRepresentation
bin1011010000100…
…01100101000000
320120201020121000
411220101211000
5143134200330
613212132000
72224521321
oct550214500
9216636530
1094443840
1149347067
1227767000
131674983a
14c786448
158458560
hex5a11940

94443840 has 224 divisors, whose sum is σ = 353324160. Its totient is φ = 23666688.

The previous prime is 94443829. The next prime is 94443841. The reversal of 94443840 is 4834449.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 94443795 and 94443804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94443841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146559 + ... + 147201.

It is an arithmetic number, because the mean of its divisors is an integer number (1577340).

Almost surely, 294443840 is an apocalyptic number.

94443840 is a gapful number since it is divisible by the number (90) 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 94443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176662080).

94443840 is an abundant number, since it is smaller than the sum of its proper divisors (258880320).

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

94443840 is a wasteful number, since it uses less digits than its factorization.

94443840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 94443840 is about 9718.2220596156. Note that the first 3 decimals coincide. The cubic root of 94443840 is about 455.3980978290.

The spelling of 94443840 in words is "ninety-four million, four hundred forty-three thousand, eight hundred forty".