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2089442304 = 21038311
BaseRepresentation
bin111110010001010…
…0101110000000000
312101121122200000000
41330202211300000
513234344123204
6543200000000
7102530652345
oct17442456000
95347580000
102089442304
11982487a24
124a3900000
13273b624c1
1415b6dc7cc
15c367e039
hex7c8a5c00

2089442304 has 198 divisors, whose sum is σ = 6285092424. Its totient is φ = 694241280.

The previous prime is 2089442297. The next prime is 2089442317. The reversal of 2089442304 is 4032449802.

2089442304 is a `hidden beast` number, since 208 + 9 + 442 + 3 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6718309 + ... + 6718619.

Almost surely, 22089442304 is an apocalyptic number.

2089442304 is a gapful number since it is divisible by the number (24) 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 2089442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3142546212).

2089442304 is an abundant number, since it is smaller than the sum of its proper divisors (4195650120).

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

2089442304 is an frugal number, since it uses more digits than its factorization.

2089442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2089442304 is about 45710.4178935174. The cubic root of 2089442304 is about 1278.4295322707.

The spelling of 2089442304 in words is "two billion, eighty-nine million, four hundred forty-two thousand, three hundred four".