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2949893856 = 2533713172207
BaseRepresentation
bin1010111111010011…
…1100111011100000
321121120202010122000
42233310330323200
522020133100411
61204414244000
7133046453430
oct25764747340
97546663560
102949893856
111284157a08
126a3ab6600
133801bca30
141ddac22c0
15123e97956
hexafd3cee0

2949893856 has 384 divisors, whose sum is σ = 11217346560. Its totient is φ = 731897856.

The previous prime is 2949893851. The next prime is 2949893867. The reversal of 2949893856 is 6583989492.

2949893856 is a `hidden beast` number, since 2 + 9 + 498 + 93 + 8 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2949893793 and 2949893802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2949893851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1335505 + ... + 1337711.

It is an arithmetic number, because the mean of its divisors is an integer number (29211840).

Almost surely, 22949893856 is an apocalyptic number.

2949893856 is a gapful number since it is divisible by the number (26) 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 2949893856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5608673280).

2949893856 is an abundant number, since it is smaller than the sum of its proper divisors (8267452704).

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

2949893856 is a wasteful number, since it uses less digits than its factorization.

2949893856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263 (or 2249 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The square root of 2949893856 is about 54312.9253124889. The cubic root of 2949893856 is about 1434.1749405802.

The spelling of 2949893856 in words is "two billion, nine hundred forty-nine million, eight hundred ninety-three thousand, eight hundred fifty-six".