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2684897856 = 26321721272
BaseRepresentation
bin1010000000001000…
…0100101001000000
320221010002221110100
42200002010221000
520444313212411
61122230402400
7123351153354
oct24002045100
96833087410
102684897856
111158611553
1262b200400
1333a329774
141b6821464
1510aaa0456
hexa0084a40

2684897856 has 189 divisors, whose sum is σ = 8239974249. Its totient is φ = 835688448.

The previous prime is 2684897843. The next prime is 2684897857. The reversal of 2684897856 is 6587984862.

The square root of 2684897856 is 51816.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2090318400 + 594579456 = 45720^2 + 24384^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2684897793 and 2684897802.

It is not an unprimeable number, because it can be changed into a prime (2684897857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21140865 + ... + 21140991.

Almost surely, 22684897856 is an apocalyptic number.

2684897856 is the 51816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2684897856

2684897856 is an abundant number, since it is smaller than the sum of its proper divisors (5555076393).

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

2684897856 is a wasteful number, since it uses less digits than its factorization.

2684897856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 149 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The cubic root of 2684897856 is about 1389.8755743221.

The spelling of 2684897856 in words is "two billion, six hundred eighty-four million, eight hundred ninety-seven thousand, eight hundred fifty-six".