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2878098048 = 27337271439
BaseRepresentation
bin1010101110001100…
…0100101010000000
321102120122112022000
42223203010222000
521343243114143
61153331344000
7131215300260
oct25343045200
97376575260
102878098048
11124767a731
12683a52000
1336b3729c7
141d43537a0
1511ca14bd3
hexab8c4a80

2878098048 has 256 divisors, whose sum is σ = 9765888000. Its totient is φ = 817413120.

The previous prime is 2878098023. The next prime is 2878098053. The reversal of 2878098048 is 8408908782.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2878097985 and 2878098003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6555813 + ... + 6556251.

It is an arithmetic number, because the mean of its divisors is an integer number (38148000).

Almost surely, 22878098048 is an apocalyptic number.

2878098048 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 2878098048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4882944000).

2878098048 is an abundant number, since it is smaller than the sum of its proper divisors (6887789952).

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

2878098048 is a wasteful number, since it uses less digits than its factorization.

2878098048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 2878098048 is about 53647.9081418838. The cubic root of 2878098048 is about 1422.4440565140. Note that the first 3 decimals are identical.

The spelling of 2878098048 in words is "two billion, eight hundred seventy-eight million, ninety-eight thousand, forty-eight".