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2990794800 = 243527463769
BaseRepresentation
bin1011001001000011…
…1110100000110000
321201102201010011210
42302100332200300
522111120413200
61212435040120
7134054223240
oct26220764060
97642633153
102990794800
1112a5253444
126b5740040
13388810686
142052cbb20
15127876650
hexb243e830

2990794800 has 240 divisors, whose sum is σ = 10987074560. Its totient is φ = 681246720.

The previous prime is 2990794799. The next prime is 2990794801. The reversal of 2990794800 is 84970992.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2990794799) and next prime (2990794801).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2990794800.

It is not an unprimeable number, because it can be changed into a prime (2990794801) 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 47 ways as a sum of consecutive naturals, for example, 3888816 + ... + 3889584.

Almost surely, 22990794800 is an apocalyptic number.

2990794800 is a gapful number since it is divisible by the number (20) 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 2990794800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5493537280).

2990794800 is an abundant number, since it is smaller than the sum of its proper divisors (7996279760).

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

2990794800 is a wasteful number, since it uses less digits than its factorization.

2990794800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 2990794800 is about 54688.1595960222. The cubic root of 2990794800 is about 1440.7729261038.

The spelling of 2990794800 in words is "two billion, nine hundred ninety million, seven hundred ninety-four thousand, eight hundred".