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8284850640 = 2433511231699
BaseRepresentation
bin1111011011101000…
…01100100111010000
3210101101102000112000
413231310030213100
5113431410210030
63450033034000
7412210032333
oct75564144720
923341360460
108284850640
113571644a00
1217326b5900
13a205685b1
1458845661a
15337515860
hex1edd0c9d0

8284850640 has 240 divisors, whose sum is σ = 31367784000. Its totient is φ = 2008385280.

The previous prime is 8284850557. The next prime is 8284850641. The reversal of 8284850640 is 460584828.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8284850641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245511 + ... + 277209.

It is an arithmetic number, because the mean of its divisors is an integer number (130699100).

Almost surely, 28284850640 is an apocalyptic number.

8284850640 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 8284850640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15683892000).

8284850640 is an abundant number, since it is smaller than the sum of its proper divisors (23082933360).

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

8284850640 is a wasteful number, since it uses less digits than its factorization.

8284850640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31743 (or 31720 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 8284850640 is about 91021.1549036816. The cubic root of 8284850640 is about 2023.4612617811.

The spelling of 8284850640 in words is "eight billion, two hundred eighty-four million, eight hundred fifty thousand, six hundred forty".