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2090458048 = 26716328627
BaseRepresentation
bin111110010011001…
…1101101111000000
312101200120021100011
41330212131233000
513240124124143
6543233434304
7102542412610
oct17446355700
95350507304
102090458048
11983011088
124a410b994
13274129933
1415b8c4a40
15c37cee9d
hex7c99dbc0

2090458048 has 56 divisors (see below), whose sum is σ = 4770111872. Its totient is φ = 890383104.

The previous prime is 2090457997. The next prime is 2090458049. The reversal of 2090458048 is 8408540902.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 2090458048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2090458049) 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 7 ways as a sum of consecutive naturals, for example, 58711 + ... + 87337.

Almost surely, 22090458048 is an apocalyptic number.

2090458048 is a gapful number since it is divisible by the number (28) 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 2090458048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385055936).

2090458048 is an abundant number, since it is smaller than the sum of its proper divisors (2679653824).

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

2090458048 is a wasteful number, since it uses less digits than its factorization.

2090458048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28809 (or 28799 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 2090458048 is about 45721.5271835926. The cubic root of 2090458048 is about 1278.6366603893.

The spelling of 2090458048 in words is "two billion, ninety million, four hundred fifty-eight thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 163 224 326 448 652 1141 1304 2282 2608 4564 5216 9128 10432 18256 28627 36512 57254 73024 114508 200389 229016 400778 458032 801556 916064 1603112 1832128 3206224 4666201 6412448 9332402 12824896 18664804 32663407 37329608 65326814 74659216 130653628 149318432 261307256 298636864 522614512 1045229024 2090458048