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2088793728 = 273271913633
BaseRepresentation
bin111110010000000…
…0111011010000000
312101120102201022200
41330200013122000
513234212344403
6543134033200
7102522311430
oct17440073200
95346381280
102088793728
1198208470a
124a3648800
13273996228
1415b5b02c0
15c35a1ca3
hex7c807680

2088793728 has 192 divisors, whose sum is σ = 7231473600. Its totient is φ = 565346304.

The previous prime is 2088793717. The next prime is 2088793741. The reversal of 2088793728 is 8273978802.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146400 + ... + 160032.

It is an arithmetic number, because the mean of its divisors is an integer number (37663925).

Almost surely, 22088793728 is an apocalyptic number.

2088793728 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 2088793728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615736800).

2088793728 is an abundant number, since it is smaller than the sum of its proper divisors (5142679872).

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

2088793728 is a wasteful number, since it uses less digits than its factorization.

2088793728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13679 (or 13664 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 2088793728 is about 45703.3229426483. The cubic root of 2088793728 is about 1278.2972410659.

The spelling of 2088793728 in words is "two billion, eighty-eight million, seven hundred ninety-three thousand, seven hundred twenty-eight".