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818249440 = 255171971223
BaseRepresentation
bin110000110001010…
…111111011100000
32010000200101012211
4300301113323200
53133432440230
6213105531504
726164001611
oct6061277340
92100611184
10818249440
1138a975a08
121aa043b94
131006a2588
147a959c08
154bc7e42a
hex30c57ee0

818249440 has 192 divisors, whose sum is σ = 2194698240. Its totient is φ = 286433280.

The previous prime is 818249431. The next prime is 818249447. The reversal of 818249440 is 44942818.

818249440 = 1432 + 1442 + ... + 13492.

It is a happy number.

818249440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 818249393 and 818249402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (818249447) 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, 3669169 + ... + 3669391.

It is an arithmetic number, because the mean of its divisors is an integer number (11430720).

Almost surely, 2818249440 is an apocalyptic number.

818249440 is a gapful number since it is divisible by the number (80) 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 818249440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097349120).

818249440 is an abundant number, since it is smaller than the sum of its proper divisors (1376448800).

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

818249440 is a wasteful number, since it uses less digits than its factorization.

818249440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 818249440 is about 28605.0596922992. The cubic root of 818249440 is about 935.3236280455.

The spelling of 818249440 in words is "eight hundred eighteen million, two hundred forty-nine thousand, four hundred forty".