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2049369336 = 233472194379
BaseRepresentation
bin111101000100110…
…1110010011111000
312021211020202020000
41322021232103320
513144114304321
6535205033000
7101533231500
oct17211562370
95254222200
102049369336
119618a7573
124923b5760
132687716a1
1415626aa00
15bedb5826
hex7a26e4f8

2049369336 has 480 divisors, whose sum is σ = 7283232000. Its totient is φ = 534957696.

The previous prime is 2049369239. The next prime is 2049369337. The reversal of 2049369336 is 6339639402.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2049369291 and 2049369300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2049369337) 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 119 ways as a sum of consecutive naturals, for example, 25941345 + ... + 25941423.

It is an arithmetic number, because the mean of its divisors is an integer number (15173400).

Almost surely, 22049369336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2049369336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641616000).

2049369336 is an abundant number, since it is smaller than the sum of its proper divisors (5233862664).

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

2049369336 is a wasteful number, since it uses less digits than its factorization.

2049369336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The square root of 2049369336 is about 45269.9606361658. The cubic root of 2049369336 is about 1270.2038104716.

It can be divided in two parts, 20493693 and 36, that added together give a square (20493729 = 45272).

The spelling of 2049369336 in words is "two billion, forty-nine million, three hundred sixty-nine thousand, three hundred thirty-six".