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2798988192 = 25327211131973
BaseRepresentation
bin1010011011010101…
…0010101110100000
321020001210022222100
42212311102232200
521213020110232
61141424010400
7126235002300
oct24665225640
97201708870
102798988192
111206a57290
12661460a00
13357b64840
141c7a3d600
15115ad9c7c
hexa6d52ba0

2798988192 has 864 divisors, whose sum is σ = 11607261120. Its totient is φ = 627056640.

The previous prime is 2798988187. The next prime is 2798988193. The reversal of 2798988192 is 2918898972.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (10450944) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2798988193) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38342268 + ... + 38342340.

It is an arithmetic number, because the mean of its divisors is an integer number (13434330).

Almost surely, 22798988192 is an apocalyptic number.

2798988192 is a gapful number since it is divisible by the number (22) 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 2798988192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803630560).

2798988192 is an abundant number, since it is smaller than the sum of its proper divisors (8808272928).

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

2798988192 is a wasteful number, since it uses less digits than its factorization.

2798988192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 128 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 63.

The square root of 2798988192 is about 52905.4646704856. The cubic root of 2798988192 is about 1409.2899518344.

The spelling of 2798988192 in words is "two billion, seven hundred ninety-eight million, nine hundred eighty-eight thousand, one hundred ninety-two".