Search a number
-
+
2088078048 = 25337675153
BaseRepresentation
bin111110001110101…
…1000101011100000
312101112002100121000
41330131120223200
513234021444143
6543110432000
7102513241050
oct17435305340
95345070530
102088078048
11981735a41
124a3362600
132737a5554
1415b465560
15c34aebd3
hex7c758ae0

2088078048 has 192 divisors, whose sum is σ = 7065515520. Its totient is φ = 587575296.

The previous prime is 2088078029. The next prime is 2088078073. The reversal of 2088078048 is 8408708802.

2088078048 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2088077994 and 2088078012.

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, 402640 + ... + 407792.

It is an arithmetic number, because the mean of its divisors is an integer number (36799560).

Almost surely, 22088078048 is an apocalyptic number.

2088078048 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 2088078048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532757760).

2088078048 is an abundant number, since it is smaller than the sum of its proper divisors (4977437472).

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

2088078048 is a wasteful number, since it uses less digits than its factorization.

2088078048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5246 (or 5232 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 2088078048 is about 45695.4926442423. The cubic root of 2088078048 is about 1278.1512307535.

The spelling of 2088078048 in words is "two billion, eighty-eight million, seventy-eight thousand, forty-eight".