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2823468480 = 263257140053
BaseRepresentation
bin1010100001001010…
…1011010111000000
321021202212001121200
42220102223113000
521240301442410
61144100421200
7126653041350
oct25022532700
97252761550
102823468480
111219857728
126696a7800
1335cc56311
141cadb2b60
15117d233c0
hexa84ab5c0

2823468480 has 168 divisors, whose sum is σ = 11098999392. Its totient is φ = 645359616.

The previous prime is 2823468421. The next prime is 2823468481. The reversal of 2823468480 is 848643282.

2823468480 is a `hidden beast` number, since 2 + 82 + 34 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 (2823468481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49867 + ... + 90186.

Almost surely, 22823468480 is an apocalyptic number.

2823468480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2823468480 is an abundant number, since it is smaller than the sum of its proper divisors (8275530912).

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

2823468480 is a wasteful number, since it uses less digits than its factorization.

2823468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140083 (or 140070 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 2823468480 is about 53136.3197822356. The cubic root of 2823468480 is about 1413.3866381541.

The spelling of 2823468480 in words is "two billion, eight hundred twenty-three million, four hundred sixty-eight thousand, four hundred eighty".